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A cone and sphere have the same volume the radius of the sphere and the base of the cone are 6cm what is the height of the cone?
Wiki User
∙ 14y ago
Start by finding the volume of the sphere. You know it's radius is 6cm. The volume of the sphere with respect to the radius is:
v = 4/3πr3
So you can plug that radius in to get the volume:
v = 4/3π(6cm)3
v = 4/3π216cm3
v = 288πcm3
We know that the volumes of the sphere and the cone are equal, and that the base radius of the cone is six centimeters. Using those, we can work out the cone's height. The volume of a cone is calculated as:
v = πr2h
we already have the volume and radius, so we simply have to rearrange that equation and solve for h
v = πr2h
h = v / πr2
and simply plug in our values:
h = (288π cm3) / π(6cm)2
h = 288cm3 / 36cm2
h = 8cm
So the height of the cone is eight centimeters
Wiki User
∙ 14y ago
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What is the relation between sphere and cone?
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
What is the volume of a cylinder with the radius 7 and the height 10?
Cylinder volume = height 10 cm > radius 7 cm > base area of the cylinder = 153.9380400 cm2 Volume = base area x height = 1539.380400 cm 2
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The height of this cylinder is 2.4868 cm
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What is the volume if the radius is 3 and the height is 8?
I'm assuming you are asking about a cylinder. The volume of a cylinder is the area of the base times the height. The base is a circle so its area is pi*r^2. We get V=height*pi*radius*radius = 8*pi*3*3 = 72*pi which is about 226.195
Is the volume formula universal for all the figures?
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How do you get the volume if you have the radius and the height?
if its a cone: volume= (1/3) base* height or volume= (1/3) pi *radius*radius[r squared]* height
The volume of a cylinder is 300 the height is 3 what is the radius of the base?
If the volume of a cylinder is 300 and the height is 3, the radius of the base is: 5.65
Formula for the volume of a prism?
Volume of a Cube Length x Breadth x Height Volume of a Triangular Prism (Length x Breadth x Height) divided by 2 Volume of a Square Pyramid (Length x Breadth x Height) divided by 3 Volume of a Cylinder (Pi x Radius x Radius x Length) Volume of a Cone (Pi x Radius x Radius x Height) divided by 3 Volume of a Sphere (Pi x Radius x Radius x Radius x 4) divided by 3 -----=-----=-----=-----=-----=-----=-----=-----=-----=-----=-----= By Austin From Covenant Christian School
Can you find the volume of a cone?
Volume = Base x Height /3 Where base is the area of the base circle (pi*radius*radius) and Height is the perpendicular distance from the base to the apex of the cone
What is the volume of a cylinder with base radius 4 and height 9?
A cylinder with a base radius of 4 units and a height of 9 units has a volume of 452.39 units3
What is the relation between sphere and cone?
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
How do you find the volume of a cylinder when you know the circumference and height?
Solve for the radius first, then use the formula for the volume of a cylinder (volume = base x height = pi x radius2 x height).Solve for the radius first, then use the formula for the volume of a cylinder (volume = base x height = pi x radius2 x height).Solve for the radius first, then use the formula for the volume of a cylinder (volume = base x height = pi x radius2 x height).Solve for the radius first, then use the formula for the volume of a cylinder (volume = base x height = pi x radius2 x height).
What is is the formula for the volume of a sphere?
Volume of a sphere = 4/3*pi*radius cubed
What is a circumscribed cylinder?
A cylinder with base radius r and height 2r. This cylinder circumscribes a sphere of radius r.
What is volume of 18cm height and 12cm radius of a cone?
A cone with a base radius of 12 cm and a height of 18 cm has a volume of 2,714.34 cm3
What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?
A cone with a base radius of 4 inches and a height of 12 inches has a volume of 201.06 cubic inches.
