Thursday

December 18, 2014

December 18, 2014

Number of results: 63,919

**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*

**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 *

**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*

**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*

**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**

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*

**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 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*

**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**

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*

**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**

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*

**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*

**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*

**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*

**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*

**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*

**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 *

**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*

**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**

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*

**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*

**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*

**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*

**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*

**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*

**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-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**

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*

**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*

**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*

**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*

**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**

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*

**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**

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*

**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*

**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*

**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**

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*

** 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**

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*

**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 - 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*

**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*

**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*

**calculus**

the volume V of a right circular cone of height h=8 feet and radius r feet is V=V(r)=2pier^2. If r is changing, find the instantaneous rate of change of the volume V with respect to the radius r at r=4.
*August 10, 2014 by KZAA*

**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**

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*

**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 QUIZ PLS HELP!!!**

1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ©£ and round to the nearest tenth. 439.6 ft^2 324.5 ft^2 571.5 ft^2 285.7 ft^2*** 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. ...
*March 19, 2014 by TTR+S<3*

**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**

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*

**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*

**Geomertry**

Is the volume of a right circular cone with a radius of 1cm and height 2cm. 2.09 cm^3
*May 19, 2011 by Mary *

**geometry**

what is the volume of a right circular cone with radius 1cm and height 2cm
*May 21, 2011 by JOY*

**math**

Find the altitude of a right circular cone of maximum curved surface which can be inscribed of radius "r"
*August 25, 2014 by tarsem singh*

**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*

**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**

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*

**algebra**

Find the volume of a right circular cylinder whose base has an area of 6 cm^2 and whose height is 17 cm. am i right that V=(b1+b2)H Check the formula you used. The volume of a right circular cylinder is V=pi*(r^2)*h where r is the radius and h is the height, or V=B*h where B ...
*September 27, 2006 by cassii*

**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 (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? *

**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 solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 2 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)
*November 7, 2012 by Ashley*

**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**

"Find the volume of a cone that has 5 as its base radius and a lateral surface area of 65 pi." Help, thanks!
*August 4, 2014 by Sheenybeany*

**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**

Use cylindrical shells to find the volume V of a right circular cone with height 7h and base radius 4r.
*September 9, 2010 by Matthew*

**calculus**

The radius of the base of a right circular cylinder is r com and the height is 2r cm. Find the rate at which the surface area of the cylinder is increasing when the radius is 5 cm and the volume is increasing at 5pi cm/sec. Thank you!
*May 6, 2012 by Krystal*

**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*

**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*

**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*

**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*

**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*

**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**

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**

A container in the shape of a right circular cylinder with no top has surface area 3*pi (m2). What height h and base radius r will maximize the volume of the cylinder ?
*April 9, 2012 by febie*

**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 for Ms. Sue please! **

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 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*

**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*

**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*

**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*

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