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July 25, 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: 47,682

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 ...
August 11, 2012 by deel

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?
January 30, 2010 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?
January 30, 2010 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?
February 27, 2010 by Donna

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.
January 9, 2011 by crystal

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.
March 2, 2010 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.
March 2, 2010 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
December 20, 2012 by Anamika

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
March 16, 2012 by trey

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.
January 5, 2009 by brianna

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?
May 5, 2012 by Piggy

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)
November 18, 2012 by Marwein

Math
An inverted right cone, half filled with water. I've only the volume of the entire cone to go from. So the volume of the cone = 1/3 the base area * height I've been told by a friend that the base area of a half scale cone = 1/4 of the larger cones base area; with the height ...
July 15, 2014 by Eef

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.
May 12, 2011 by JOY

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

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?
April 27, 2011 by Meghan

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.
December 15, 2008 by Anonymous

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.
December 4, 2012 by simran

Algebra 1--How Am I Supposed to Solve This?!
Suppose a cone and a cylinder have the same radius and that the slant height l of the cone is the same as the height h of the cylinder. Find the ratio of the cone's surface area to the cylinder's surface area. Area of cone: S = πrl + πr^2 Area of cylinder: S = 2π...
May 27, 2014 by Victoria

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.
October 16, 2011 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.
October 16, 2011 by Shayna

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...
December 4, 2012 by manraj

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.
January 12, 2012 by Amy

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 ...
March 17, 2013 by anoynomous

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 ...
March 6, 2011 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 ...
May 6, 2013 by danielle

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?
October 30, 2012 by pradeep jangid

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...
December 16, 2011 by Mishaka

mathe
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.
July 12, 2014 by ali

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 ...
April 18, 2012 by lilman

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
January 7, 2011 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
January 7, 2011 by anu

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.
November 6, 2011 by jj snoke

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

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...
January 21, 2012 by Mari

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?
April 12, 2010 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?
April 12, 2010 by Ghanny

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...
May 16, 2008 by Mike

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 ...
August 13, 2012 by rolan

Maths
How to find the total surface area of a prism, cone and cylinder?
May 28, 2012 by Celina

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

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.
April 17, 2011 by Calli

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?
June 8, 2011 by simar

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?
April 23, 2013 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?
April 25, 2013 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?
April 25, 2013 by lisa

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"
December 5, 2013 by Alex

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
May 4, 2013 by Kris

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 ...
March 15, 2013 by Kevin

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
June 15, 2013 by John

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
May 4, 2013 by Jatin

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

mathematics
The hexagonal pyramid cone has a height of 65cm.Calculate the surface area of the cone?
July 23, 2013 by Katlego

Calculus
Find the radius, volume, and hieght of the right- circlar cylindar that can be inscribed in a right- circular cone with a radius of 6 inches and a hieght of 10 inches. There are an infinite number of solutions to this. Did you mean the right cylinder with the max volume? Or ...
November 28, 2006 by Tyler

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 ...
October 15, 2009 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...
May 14, 2012 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 ...
October 9, 2013 by Nathan

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 ...
May 21, 2008 by Nikki

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. ...
November 12, 2012 by Ravinder

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? ...
October 26, 2009 by Leonardo

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: ...
November 4, 2012 by Anonymous

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...
October 26, 2010 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...
February 28, 2014 by ALI

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

Calculus (Math 2A)
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 the same. How fast is the height of the pile increasing when the pile is 19 feet high? Recall ...
February 19, 2012 by What is wrong with it?

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....
November 7, 2011 by Sara

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/...
December 10, 2006 by Hero

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.
May 11, 2011 by Mary

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

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
September 6, 2008 by john

Algebra 1--Please, help me!
1. Jeffs builds model train layouts. He has $75 to spend on packages of miniature landscape items. He recieves 6 free packages with each order. The number of packages y that Jeff can buy is given by y = 75/x + 6, where x represents the cost of each package in dollars. Describe...
May 26, 2014 by Victoria

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.
February 14, 2011 by gen

CALC HELP ASAP
suppose you need to construct a cone who surface area is 100 sq in. (A= pi*r*(sqrt( r^2+h^2), this is the amount of carboard needed to construct the cone. find values of r and h that will maximize the volume of the cone (V= (pi/3)r^2h Please help. explanations and steps please...
December 17, 2010 by CM

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

maths
calculate the total surface area of a solid cone of slant height 10cm. use the value 3.14 for radius
May 2, 2014 by Edward

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 ...
January 23, 2013 by dirtrider

algebra
The most economical tin can to manufacture is one that is a right circular with height equal to twice the radius. one such can has a volume of 54 pi cm cubed. what is the total surface area of this can in cm squared?
January 14, 2009 by Mackenzie

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/...
October 26, 2006 by Sarah

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?
May 23, 2011 by Reshma

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 16 feet high? Recall that ...
July 5, 2013 by Robin

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

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
November 5, 2008 by Corey

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?
February 19, 2012 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.
April 30, 2013 by Allison

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!
March 9, 2013 by tmouery

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.
February 17, 2013 by Barb

maths --plse help me..
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...
December 4, 2012 by sarika

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...
March 22, 2013 by pam

math-PLEASE CHECK AND HELP
find the surface area and volume of the right circular cylinder. The radius is 3 and height 6. This is what I put for volume: v=pir^2h pi(3cm)^2 6 cm= 54pi cm cubed can you please check this and show work on how to do the surface area? Thanks.
May 16, 2010 by crystal

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.
September 24, 2012 by Carly

calculus
Find the dimensions of the right circular cylinder of greatest volume which can be inscribe in a right circular cone with radius of 5 inches and a hieght of 12 inches(hint:use similar triangle property).also draw a label diagram....plz answer its too urgent
November 7, 2010 by daan

calc - question #1
A frustum of a right circular cone with height h, lower base radius R, and top radius r. -what's the volume using h, R, & r in the answer? Figure it as the difference of two right cones, 1/3 base area*height.
June 5, 2007 by WOOF

geometry
A cone has a circular base, a perpendicular height equal to 21cm, and a semi-vertical angle of 30degrees. Calculate the slant height of the cone. Find the area of its base.(take pie to be 22/7)
April 15, 2013 by Londie munyai

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 ...
May 16, 2008 by Mike

math
what is the surface area of a right cone with a diameter of 15 units and a slant height of 34 units.
June 12, 2013 by devon

Pre Algebra
I am doing an ice cream cone project for math on cones and had to figure out the surface area for them, but there is a question that is "how to the surface and lateral area of each relate?" my teacher said you will see a pattern but i dont. i.e. sa= 13,293.5 and la= 10,831.7 ...
May 10, 2011 by Carrie

MATH
Would a lateral surface and once circular base be a cone?
November 21, 2010 by Edith

Calculus 2
An underground tank full of water has the following shape: Hemisphere - 5 m radius. at the bottom Cylinder - radius 5 m and height 10m in the middle Circular cone radius 5 m and height 4 m at the top The top of the tank is 2 m below the ground surface and is connected to the ...
November 10, 2010 by Amy

math
Find the approximate value of the volume of the right circular cone of 20 cm , 32 cm with a circular base shown below. Approximate your solution to the nearest hundredth.
December 29, 2011 by kim

Geometry - plz help
The radius of a right circular cone is 6 inches and the height is 8 inches find the slant height of the cone.
May 25, 2011 by Mary

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