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April 19, 2014

Search: the total surface area of a right circular cone is 90pi. its radius is 5. what is the volume of the cone?

Number of results: 91,289

math
A right circular cylinder of radius r and height h is inscribed in a right circular cone of radius R and height H, as shown on the right figure. Find the value of r (in terms of R and H) that maximizes the total surface area of the cylinder (including top and bottom). Comment ...
Saturday, August 11, 2012 at 11:10pm by deel

Geometry
Since you used the word "total" area, I assume the circular base is included. Area of base = 9π which leaves 15π for the area of the side of the cone. The surface area without the base is πrs, where s is the slant height π(3)s = 15π s = 5 so from our ...
Monday, April 30, 2012 at 9:31pm by Reiny

math
Consider the right circular cone shown. If the radius of the circular base remains the same and the height varies, what are the minimum surface area and minimum volume the cone can have?
Saturday, January 30, 2010 at 12:46am by elcapitain

math
Consider the right circular cone shown. If the radius of the circular base remains the same and the height varies, what are the minimum surface area and minimum volume the cone can have?
Saturday, January 30, 2010 at 12:46am by elcapitain

math
Consider the right circular cone shown. if the radius of the circular base remains the same and the height varies, what is the minimum surface area and minimum volume the cone can have?
Saturday, February 27, 2010 at 4:53pm by Donna

Math
pretend that you started with a large cone of height 12 in, and radius of 8 in. To create the fulcrum, you cut off the top consisting of a cone of height 6 in and radius of 4 inches. to find the lateral surface area of the fulcrum, find the lateral area of the large cone and ...
Friday, May 16, 2008 at 9:57pm by Reiny

MATH214
Find the surface area of a right circular cone topped with a hemisphere. the height of the cone is 8cm, the radius is 4cm.
Tuesday, March 2, 2010 at 10:02pm by Rebecca

MATH214
Find the surface area of a right circular cone topped with a hemisphere. the height of the cone is 8cm, the radius is 4cm.
Tuesday, March 2, 2010 at 10:14pm by Rebecca

maths --plse help me..
Prove that the radius of the base of right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half that of the cone
Thursday, December 20, 2012 at 12:29pm by Anamika

math(again)
the ? says "a cone has the surface area of 160 sq. in. If the dimensions are reduced by 1/2,what is the surface area of the new cone?" i just cant seem to find the formula for the surface area of the cone.
Monday, January 5, 2009 at 7:02pm by brianna

math
If you are calculating surface area of a right circular cone topped with a hemisphere. the radius is 4 cm and the rt angle is 8 cm...what is the lateral surface area. Is it 8.94 or is it 9? Explain answer please. Thanks
Friday, March 16, 2012 at 8:29pm by trey

geometry
The surface area of a cone is 38 in^2. The radius of a similar cone is triple the radiusof the orginal cone. What is the surface area of the new cone?
Saturday, May 5, 2012 at 3:20pm by Piggy

geometry
Find the surface area of each of the following a cube that is 4 cm by 4 cm by 4 cm. A right circular cylinder that is 6 cm by 12cm. A right circular prisim 8cm by 5 cm by 6 cm. A sphere that is 4cm a right circular cone that is 8cm by 6 cm.
Sunday, January 9, 2011 at 12:00am by crystal

MATH214
I think we are looking at something like a single scoop icecream cone, right? The surface area of a cone is pi(r)(s) where r is the radius and s is the slant height. The surface area of a hemisphere = (1/2)4pi(r^2) = 2pi(r^2) we find s by using Pythagoras: s^2 = 8^2 + 4^2 = 80...
Tuesday, March 2, 2010 at 10:14pm by Reiny

maths
The missing part is the height of the cone, but it is 2/3 the volume of the hemisphere (semi-sphere). volume of hemisphere = (1/2 (4/3)π (21^3) = 6174π but the volume of the cone is 2/3 of that or 4116π vol of cone = (1/3)π r^2 h 4116π = (1/3)π(21...
Tuesday, December 4, 2012 at 6:35am by Reiny

Maths
show that the semi vertical angle of a right circular cone of a given surface area and maximum value is sin-1 (1/3)
Sunday, November 18, 2012 at 5:13am by Marwein

Math
A right circular cylinder with a height of 20 cm and a right circular cone share a circular base and have the same volume. What is the height of the cone?
Wednesday, April 27, 2011 at 7:01pm by Meghan

math
how about if the raduis of right circular cone is given and the surface area is given what is the formula? help please?
Wednesday, July 13, 2011 at 9:03am by jazz

geometry
A cone is topped with a hemisphere. Calculate the total surface area if the radius of the cone and hemisphere is 10 cm and the height of the cone is 24 cm.
Thursday, May 12, 2011 at 8:38am by JOY

Calculus
A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible surface area of such a cylinder.
Monday, December 15, 2008 at 8:07pm by Anonymous

math
the lateral area of a solid is the surface area with the base excluded. So if it says to find the surface area of a cone you would include the circle, but if you are to find the lateral area of a cone you would find only the top part surface.
Wednesday, May 14, 2008 at 12:41pm by Reiny

math
In the case of the cone, base area is PIr^2 Surface area of a cone is area base+area cone= PIr^2+PI*radius*slantheight so you will need slant height to solve.
Wednesday, July 13, 2011 at 9:03am by bobpursley

maths
A Toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere .If the radius of base of the cone is 21 cm and its volume is 2/3 of the volume of hemisphere calculate the height of cine and surface area of the toy.
Tuesday, December 4, 2012 at 6:35am by simran

maths
Conic surface area = pi* (slant height)*(radius) If cone 1 has twice the area of cone 2, and cone 2 has twice the slant height of cone 1, then cone 1 has four times the radius of cone 2.
Sunday, January 6, 2013 at 6:31am by drwls

AP CALCULUS PLEASE HELP DUE TOMORROW!
That depends upon how thick you make the walls of the cone. They should have asked for the minimum surface area cone with that volume. The surface area of a cone is: A = pi s r = pi*sqrt(r^2 + h^2)*r where s is the slant height and h is the height of the axis. The cone volume ...
Sunday, December 12, 2010 at 8:59pm by drwls

Calculus
A right circular cone is inscribed in a sphere of radius r. Find the dimensions of the cone that maximize the volume of the cone.
Sunday, October 16, 2011 at 5:41pm by DJ

Calculus
A right circular cone is inscribed in a sphere of radius r. Find the dimensions of the cone that maximize the volume of the cone.
Sunday, October 16, 2011 at 7:21pm by Shayna

maths-surface area
A solid is in the form of cone mounted on a hemisphere in such a way that the centre of the base of the cone just coincide with the centre of the base of the hemisphere. Slant height of the cone is L and radius of the base of the cone is 1/2r where through r is the radius of ...
Sunday, March 17, 2013 at 1:05pm by anoynomous

Calculus
Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone. Please, help out, this is for a study guide for a quiz. :) Thank you.
Thursday, January 12, 2012 at 6:02pm by Amy

maths-surface area
volume of cone is 1/3 pi r^2 h subtract the small cone from the large cone That's how much is sand.
Monday, March 18, 2013 at 2:53pm by Steve

maths --Surface area and all that..
A toy is in the shape of a right circular cylinder with hemisphere on one end and a cone on the other . The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radius of the hemispherical and conical parts are the same as that of the cylindrical part...
Tuesday, December 4, 2012 at 11:55am by manraj

math
A right circular cone is inscribed inside a sphere. The right circular cone has the radius of the base of 4 inches and the height is greater than 2 inches. The sphere has a radius of 5 inches. What is the ratio of the volume of the cone to the volume of the sphere? Leave your ...
Sunday, March 6, 2011 at 7:33pm by Jessica

Geometry
One right circular cone is set inside a larger circular cone. The cones share the same Axis, the same vertex, and the same height. Find the volume of the space between the cones of the diameter of the inside cone is 6in., the diameter of the outside cone is 9in and the height ...
Monday, May 6, 2013 at 1:03pm by danielle

Math
Are these correct: 1a) Find the lateral surface area in square inches of the cone with the following dimensions: h= 24 in, radius = 10 in, slant height = 26 in. (Use Pi= 3.14) I didnt know how to do: Lateral Surface Area = ______ square inches (exact answer) 1b) Find the Total...
Friday, May 16, 2008 at 10:03pm by Mike

Calculus
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible volume, what fraction...
Friday, December 16, 2011 at 7:43pm by Mishaka

maths
Two spheres of radius 6 cm and 4cm are inscribed in a right circular cone.The bigger sphere touches the smaller one and also the base of cone .find the height of the cone?
Tuesday, October 30, 2012 at 6:04am by pradeep jangid

Maths
Find The altitude of a right circular cone of maximum curved surface which can be inscribed in a sphere of radius 'r'.
Tuesday, January 22, 2013 at 12:46am by Sam

geometry
surface area of tower = surface area of "sleeve" of cylinder + half a sphere + lateral surface area of cone Since you don't give me any dimensions, that is all I can give you.
Monday, March 11, 2013 at 9:29am by Reiny

Math
You included the area of the circular base. I understood that "lateral surface area" excluded the base of the solid. For the volume I got pi(6^2)(8)/3 = 301.5929 mmmmh, now would that be a coincidence that this answer is the same as the one you got for the total surface area???
Friday, May 16, 2008 at 10:02pm by Reiny

math
The base radius of a cone is 6 inches, and the cone is 8 inches tall. To the nearest square inch, what is the area of the lateral surface of the cone?
Monday, April 12, 2010 at 12:08am by Ghanny

math
The base radius of a cone is 6 inches, and the cone is 8 inches tall. To the nearest square inch, what is the area of the lateral surface of the cone?
Monday, April 12, 2010 at 6:37pm by Ghanny

calculus
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible volume, what fraction...
Saturday, January 21, 2012 at 10:44pm by Mari

calculus
A right triangle of hypotenuse L is rotated about one of its legs to generate a right circular cone find the largest volume that such a cone could occupy
Friday, January 7, 2011 at 1:34am by anu

calculus
A right triangle of hypotenuse L is rotated about one of its legs to generate a right circular cone find the largest volume that such a cone could occupy
Friday, January 7, 2011 at 1:38am by anu

math-PLEASE CHECK AND HELP
The volume of a cone is (1/3) pi r^2 h You forgot the 1/3 factor in that formula. The area of the side of a cone is A = pi c^2*(r/c) = pi*r*c where c is the slant height. For the total cone area, you must add the bottom, pi r^2.
Sunday, May 16, 2010 at 9:15am by drwls

Maths
How to find the total surface area of a prism, cone and cylinder?
Monday, May 28, 2012 at 11:30am by Celina

geometry
Oops, sorry, I forgot to give the dimensions. The dimensions of the cone are 2ft. high and 3.2 ft. at the slant. The dimensions of the cylinder are 5ft. across and 6 ft. tall. I wasn't sure if I needed to figure Total Surface Area or Lateral Surface Area, or both.
Monday, March 11, 2013 at 9:29am by tmouery

calculus
A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
Tuesday, April 23, 2013 at 7:21pm by lisa

calculus
A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
Thursday, April 25, 2013 at 6:54pm by lisa

calculus
A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
Thursday, April 25, 2013 at 9:37pm by lisa

calculus
A right triangle with hypotenuse 5 inches is revolved around one of its legs to generate a right circular cone. Find the radius and height of the greatest volume cone.
Sunday, November 6, 2011 at 3:19pm by jj snoke

geometry
Draw a cross section and you will have a right-angled triangle. find the missing side which will be the radius of the base of the cone , r should be 9 in You should have formulas for the surface area of a cone.
Thursday, May 12, 2011 at 6:29am by Reiny

geometry
I can visualize a cone (right circular cone)
Saturday, October 25, 2008 at 11:49pm by Reiny

GEOMETRY LATERAL AND SURFACE URGENT (PLEASEHELP)
Total surface area of a rectangular box =2(lw+wh+hl) where l,w,h=length, width and height respectively. Total surface area of a cubical box (all sides equal to "a" =6a² Total surface area of a Rectangular prism : see above for rectangular box
Tuesday, July 9, 2013 at 10:44am by MathMate

math
To calculate the curved surface area of the cone, we need to know the base radius R. The slant height (L) of a cone is 13 cm The vertical height (H) is 12 cm Use Pythagoras theorem to find the radius of the base, R R² = L² - H² R = sqrt(13²-12²) =5 The...
Sunday, May 30, 2010 at 11:09pm by MathMate

Calculus
a rectangular box of given volume is to be "a" times long as it is wide. find the dimension for which it has the least total surface area ? L= aw Total surface area= 2LW + 2Lh + 2Wh = 2aw^2 + 2awh + 2wh But volume= lwh= 2aw^2 h or h= V/2aw^2 Total Surface area= = 2aw^2 + 2awV/...
Sunday, December 10, 2006 at 2:20pm by Hero

geometry
if hieght 10 cm and radious =7cm of cone then what is the total surface area.
Thursday, February 7, 2013 at 2:05am by msmadhushree

Math - Geometry
A cylindrical solid has a cylindrical circular hold drilled out of the center. Bascially, it's a circular cylinder with a hollow spot right down the middle. Find the surface area of the resulting solid. radius of larger circle: 2in radius of smaller circle (hollow area): 1in ...
Wednesday, May 21, 2008 at 8:49pm by Nikki

Math
Consider a right circular cylinder whose total surface area (top, bottom, side) is 300 pi; what must its radius be in order that the volume be as large as possible
Saturday, June 15, 2013 at 1:16pm by John

mathematics
The hexagonal pyramid cone has a height of 65cm.Calculate the surface area of the cone?
Tuesday, July 23, 2013 at 1:30pm by Katlego

Math
Optimization Problem A right circular cylindrical can of volume 128tπ cm^3 is to be manufactured by a company to store their newest kind of soup. They want to minimize the surface area of the can to keep costs down. What are the dimensions of the can with minimum surface ...
Friday, March 15, 2013 at 5:18pm by Kevin

Math 214
How do you find the volume of a right circular cone with a hemisphere? The height of the cone is 8 cm and the radius in 4cm.
Sunday, April 17, 2011 at 10:20pm by Calli

geometry
hemisphere means "half a sphere" Can you visualize the shape? I see an "icecream cone with a single scoop on top" in this case , use only the lateral surface of the cone + 1/2 the surface area of a sphere. You have done these calculations in previous post.
Thursday, May 12, 2011 at 8:38am by Reiny

maths
find the total surface area where a cone has a height of 16cm and the diameter of the base is 24
Sunday, May 22, 2011 at 7:43pm by charles

Math
The lateral surface area of a 3 dimensional body is the external surface area you would see by walking around the body or when viewing the body sideways. For instance, the lateral surface area of a cylinder is 2PiRh where R is the radius of the cylinder and h is the height of ...
Wednesday, May 14, 2008 at 8:51pm by tchrwill

Math - Calculus I
Optimization Problem: Find the dimensions of the right circular cylinder of greatest volume inscribed in a right circular cone of radius 10" and height 24"
Thursday, December 5, 2013 at 9:36pm by Alex

maths
a hemisphericalbowl of diameter 14cm mounted on a bucket inform of frustrum of a cone if the base diametre of the bucket is 7cm and total hieght is 21cm calculate the total surface area
Saturday, September 6, 2008 at 11:06pm by john

Calculus
A right circular cone has a constant slant height of 12 feet. Find the radius of the base for which the cone has maximum value
Saturday, May 4, 2013 at 11:10pm by Kris

geometry
1. What is the lateral surface area of a square pyramid with side length 11.2 cm and slant height 20 cm? 224 cm2 448 cm2 896 cm2 2508.8 cm2 2. What is the lateral surface area of a cone with radius 19 cm and slant height 11 cm? 19 cm2 30 cm2 200 cm2 209 cm2 3. What is the ...
Wednesday, April 18, 2012 at 12:15pm by lilman

Math, Calculus
A right circular cone has a constant slant height of 12 feet. Find the radius of the base for which the cone has maximum value
Saturday, May 4, 2013 at 11:08pm by Jatin

geometry
A cone has a volume of 36pi cubic meters. Its height is four times its radius. Find the surface area of the cone.
Friday, March 2, 2012 at 10:23pm by Piggy

Calculus
Gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is feet high? Hint: ...
Sunday, November 4, 2012 at 8:28pm by Anonymous

calculus
Gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is feet high? Hint: ...
Sunday, November 4, 2012 at 8:56pm by Anonymous

Math
1)Forty solid hemisphere each of diameter 2cm , are melted to form a solid cone with a base diameter 6cm .Find the height of the cone? 2)A pyramid has a square base of side 12cm and a height of 15cm .Calculate its volume and total surface area?
Monday, May 23, 2011 at 5:31am by Reshma

Math
Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 feet high? Recall that ...
Thursday, October 15, 2009 at 4:51pm by Salman

calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that...
Monday, May 14, 2012 at 12:28am by remy

Calculus
Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 18 feet high? (Recall that ...
Wednesday, October 9, 2013 at 3:16pm by Nathan

Geometry
Find the radius of a right cone with the slant height 21m and the surface area 168pi m^2
Monday, April 14, 2008 at 10:36pm by Help me!!

geometry
How many square inches are in the lateral surface area and total surface area of an aluminum can with 2 1/2 in. diameter and 4 3/4 in. height? I've worked on this until I'm crossed-eyed and it's not coming out right!
Saturday, March 9, 2013 at 11:27am by tmouery

calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 12 feet high? ...
Monday, October 26, 2009 at 8:48pm by Leonardo

Calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 14 feet high...
Tuesday, October 26, 2010 at 2:44pm by Carl

Calculus Please help!
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that...
Friday, February 28, 2014 at 3:10pm by ALI

Geometry
Find the lateral area and surface area for a right cone whose slant height forms a 45 degree angle with the base whose radius is 8 mm.
Wednesday, May 11, 2011 at 4:26pm by Mary

math
surface area of a rightcircular cylinder. The area of a right circular cylinder is given by the polynomial 2pierh^2 where h is the height and r is the radius of the base. Suppose that a beverage can has a height of 6.2 inches and a radius of 1.3 inches. Evaluate the polynomial...
Friday, March 22, 2013 at 2:08pm by pam

Math
Find the surface area of the cone. Use 3.14 for pi 8'' in the bottom and 7'' in the right side
Saturday, March 16, 2013 at 4:00pm by Selena

Calculus
Please help me with the following 2 questions. 1. Find the area of the curved surface of a right-circular cone of radius 6 and height 4 by rotating the straight line segment from (0,0) to (6,4) about the y-axis. 2. Use the Maclaurin polynomial of degree 4 to approximate sin(0....
Monday, November 7, 2011 at 11:16pm by Sara

math
a right triangle whose hypotenuse is h mm long is rotated about one of its legs to generate a circular cone.find the radius and altitude of the cone of greatest volume.
Monday, February 14, 2011 at 12:43am by gen

algebra
A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. Which expresses the ratio of the volume of the candle to its surface area(including the base)? For cone, V=1/3pir^2h and SA=pir^2+pir sqrt r^2 +h^2. Think ...
Wednesday, January 23, 2013 at 9:07pm by dirtrider

AP Calculus..again
A balloon is composed of a right circular cone joined at its base to a hemisphere. The diameter of the base is equal to the height of the cone. If the balloon is inflated, at what rate is the volume, V, changing with respect to the height, h. Volume=1/3 area base * height = 1/...
Thursday, October 26, 2006 at 8:43pm by Sarah

Geometry
A cone with a radius of 3 inches has a total area of 24 pi sq in. Find the volume of the cone.
Monday, April 30, 2012 at 9:31pm by April

math
Two right circular cone, one upside down in the other. The two bases are parallel. The vertex of the smaller cone lies at the center of the larger cone’s base. The larger cone’s height and base radius are 12 and 16 ft, respectively. What are the smaller cone’s height (h) and ...
Monday, August 13, 2012 at 12:32pm by rolan

geometry
A right circular cone is made from of a radius of 5 cm, a central angle of 216 degrees, what is the volume of the cone in cubic cm?
Wednesday, June 8, 2011 at 12:38am by simar

Geometry
The surface area of the sides of a right cylinder can be found by multiplying twice the number pie by the radius times the height. If a circular cylinder has radius (r) and height (h), write an expression that represents the surface area of its size.
Monday, September 24, 2012 at 6:44pm by Carly

math
The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15cm, what is the ratio of the slant height to the radius?
Sunday, February 19, 2012 at 9:11pm by kitOy

Math
Find the radius of a right circular cone if its volume is 1.5 times its lateral area and its radius is half its slant height.
Tuesday, April 30, 2013 at 11:24pm by Allison

math
Suppose we pump water into an inverted right-circular cone tank at the rate of 6 cubic feet per minute. The tank has the height 9 ft and radius on the top is 8 ft. What is the rate at which the water level is rising when the water is 3 ft deep? Leave the answer approximate. ...
Monday, November 12, 2012 at 11:31pm by Ravinder

ap Calculus
A right circular cone has a fixed slant height, s= 12 inches. Determine the radius and the height of the cone with maximum volume
Wednesday, November 5, 2008 at 10:38am by Corey

Math - Please Help
A right circular cone has a volume of 140 in^3. The height of the cone is the same length as the diameter of the base. Find the radius and height.
Sunday, February 17, 2013 at 10:25pm by Barb

Math
5) A frustrum of a cone has the following dimensions: height = 6 in, lower radius = 8 in, upper radius = 4 inches.( Use pi= 3.14) find each of the following: 5a) Lateral Surface area = _____ square inches 5b) Total Surface area= ______ square inches 5c) Volume = ______ cubic ...
Friday, May 16, 2008 at 9:57pm by Mike

Algebra
Find the radius of a right cone with slant height 21 m and surface area 168pi m2
Thursday, April 10, 2008 at 8:52pm by Angelita Marie

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