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May 1, 2016

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: 74,914

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

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

Calculus: Optimization
I have no idea how to approach this problem, if someone knows just how to relate h, r with H,R, that would be extremely helpful and I can workout the rest! Thank you in advance. Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the ...
February 17, 2015 by Jazz

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

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

Math
What is the surface area and volume of a composite figure made up of a hemisphere and a cone in terms of pi? The radius is 10, and the slant height is 15. Are my answers right? Cone surface area: π(10)(15) = 150π Hemisphere surface area: 2π(10)^2 = 200π 350...
May 26, 2015 by Anonymous

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
A right circular cone stands on a hemisphere. The base radius of the cone is equal to the radius of the hemisphere. If the base radius of the cone is 10 centimeters and its height is 15 centimeters,calculate the total volume of the solid.
January 6, 2016 by Dennis

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
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
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
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

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

Math
A right pyramid has a surface area of 258 cm2. A right cone has a base radius of 4 cm. The cone and pyramid have equal surface areas. What is the height of the cone to the nearest tenth of a centimetre?
October 13, 2014 by Whitney

Math
the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y.
January 6, 2015 by Depti

Math 130
Jodi says that if you double the radius of a right circular cone and divide the slant height by 2, then the surface area of the cone stays the same since the 2s cancel each other out. How do you respond?
October 24, 2014 by Enis

7th g-math
An ice-cream shop offers a small size cone and a large size cone. The height of the large cone is 2 times the height of the small cone. The radius of the large cone is 2 times the radius of the small cone. Which statement is true about the volumes of the two cones? A. The ...
February 25, 2013 by Cassidy

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

Calculus
A cone is inscribed in a sphere of radius a, centred at the origin. The height of the cone is x and the radius of the base of the cone is r, as shown in the diagram opposite. Find the height, x, for which the volume of the cone is a maximum. (HINT: show that the volume of the ...
May 6, 2013 by Grant

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

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

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

Math
A sphere is inscribed in a right cone. The slant height of the cone = the diameter of the base of cone. If the radius of the sphere is r, find the volume of the cone in terms of r.
March 22, 2012 by Maya

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

MATHEMATICS
A SECTOR IS USED TO FORM ACONE IF THE RADIUS AND ANGLE OF THESECTOR IS 8CM AND 160 DEGREE RESPECTIVELY CALCULATE, THE RADIUS OF THE CONE ,VERTICAL HEIGHT, VERTICAL ANGLE, VOLUME AND TOTAL SURFACE AREA OF THE CONE
October 19, 2015 by GINA

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
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

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

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

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

geometry
11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is larger than the ...
April 15, 2010 by Sarah

Geometry
Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is larger than the volume ...
April 17, 2010 by Sarah

math
the radius r of a right circular cone is increasing at a rate of 2cm/min.the height h of the cone is related to the radius by h=3r.find the rate of change of the volume when r=6cm
February 22, 2016 by ruth

geometry math
There is an upside-down cone that is 12m high and has a circular base with a radius of 4m that is being filled with liquid. Make V, the volume, a function of the height of the liquid, h. What is the volume of the cone when the water is 5m deep? V = (1/3)pi*r^2*h This formula ...
July 8, 2007 by CrazyFeet

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

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

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

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

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

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

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
Completely bemused, do not know how to get the answer. a)8π b)7√2 c)27√π d)7√×7√×1 13- Determine the exact total surface area of a sphere with radius 2√2 metres. a) An inverted cone with side length 4 metres is placed on top of the ...
February 25, 2016 by Ricky

Maths
A hemispherical paper is folder into a hallow right circular cone. The radius of the hemispherical paper is 12cm. What's the cone's base radius, height and volume?
July 21, 2012 by Dickson

Algebra
Find the surface area of a right circular cone with radius of 5cm and height of 12cm.
September 17, 2015 by Kali

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

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

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

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

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

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

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

math
The volume of a cone is given by the formula V = (1/3)r2h. A cone has a volume of 11,907 cm3 and a radius of 21 cm. what would be the height of the cone.
November 30, 2011 by cheyenne

Geometry
"A cone has the radius of 24 and its volume is 1,920 what is the volume of a similar cone with the radius of 18 Answers A.480 B.810 C.1,080 D.1,440" How do I find the height for the similar cone to get its volume?
March 10, 2015 by Kaitlyn

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

Pure Maths
A container is in the shape of a right circular cone (inverted) with both height and diameter 2 meters. It is being filled with water at a rate of (pi)m^3 per minute. Fine the rate of change of height h of water when the container is 1/8th full(by volume). (Volume of a right ...
August 16, 2014 by Ariana

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
“A solid consists of a right circular cylinder surmounted by a cone of the same diameter. If the height of the cone is 'h' and the volume of the solid is 3 times the volume of the cone , then find the height of the cylinder.”
March 17, 2016 by Megha

Geometry 10th
A cone is inscribed in a sphere with a radius of 5 centimeters.The distance from the center of the sphere to the center of the base of the cone is x. Write an expression for the volume of the cone in terms of x (Hint: Use the radius of the sphere as part of the height of the ...
April 17, 2012 by CP

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

PreCalculus
Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...
January 1, 2011 by Emma

Math
Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...
January 2, 2011 by Taylor

geometry: volume of cone
If the radius of a cone is cut in half, the volume of the cone is multiplied by what number?
May 9, 2011 by Anonymous

geometry
The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone? Is the volume of the new cone 18pi cu in A. 2 pi cu inches B. 6 pi cu inches C. 9 pi cu inches D. 18 pi cu ...
May 25, 2011 by Mary

Algebra
The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone? Is the volume of the new cone 18pi cu in A. 2 pi cu inches B. 6 pi cu inches C. 9 pi cu inches D. 18 pi cu ...
May 25, 2011 by Mary - Help plz

Math
A cone is constructed by cutting a sector from a circular sheet of metal with radius 20cm. The cut sheet is then folded up and welded. Find the radius and height of the cone with the maximum volume that can be formed in this way.
November 10, 2012 by Lee Meyer

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

math
a cone has a height of 6.if the volume of the cone is 24xpi, what is the radius of the cone?
April 5, 2016 by jalen

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

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

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

math
A right cone has a height of 8cm and of volume of 250cm^3. Determine the radius of the base of the cone to the nearest centimeter.
June 4, 2014 by lee

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

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

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

1. Name the solid with the description as a figure that has one base that is a rectangle and four lateral surfaces that are triangles. (1 point) triangular pyramid cone rectangular prism rectangular pyramid 2. A solid with two parallel and congruent bases cannot be which of ...
March 7, 2013 by Delilah

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

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

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
A cone has a slant height of 10 centimeters and lateral area of 60pi square centimeters. What is the volume of the sphere with a radius equal to that of a cone? -we tried solving and got 4.37 or so for the radius and we couldn't get any further than that
April 19, 2011 by Gina

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

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

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?

Maths
A sector of a circle of radius 7cm subtending an angle of 270 degree at centre of the circle is use to form a cone? (A)find the base radius of the cone. (B)calculate the area of the base of the cone.
February 2, 2016 by Victor

Cal 2
Find the volume of a frustum of a right circular cone with height 25, lower base radius 30 and top radius 13.
February 10, 2016 by Michael

Cal 2
Find the volume of a frustum of a right circular cone with height 25, lower base radius 30 and top radius 13.
February 10, 2016 by Lamar

math geometry
a cone has a radius of 2 inches and a height of 12 inches if the radius of the cone is double what must be the new height in the cone in order to keep the volume constant
February 24, 2013 by SHASHA

math
the volume V of a right circular cone is V=(1/3)π r^2 h. If the height is twice the radius, express the volume V as a function of r.
October 3, 2008 by jan

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