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# cones, help really fast!.

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A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is $$72\pi$$ cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone? Express your answer in terms of $$\pi$$.

tertre  Mar 21, 2018
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Let the height of the cylinder be  H

Let the area of the base of the cylinder be  B

volume of cylinder  =  BH  =  72π

volume of cone  =  (1/3)BH   =   (1/3)(72π)  =  24π

volume of cylinder - volume of cone  =  72π - 24π  =  48π     (cubic centimeters)

hectictar  Mar 21, 2018
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A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is  $$72\pi$$  cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone? Express your answer in terms of .

The volume of the cone is 1/3 the volume of the cylinder

so the volume of the cylinder not including the cone is the other 2/3

2/3*72 = 48

the desired volume is $$48\pi$$    cubic cntimetres

Melody  Mar 21, 2018