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Volume = 150.79645 in3

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โˆ™ 2012-06-17 09:21:47
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Q: What is the volume of a cone that has a radius of 6 in and height of 4 in?
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What is the volume of a cone with a radius of 4 and a height of 15?

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What is the volume of a cone with the radius of 4 and height of 15?

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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?

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

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