a cone has a volume of 34 cubic inches what is the volume of a cylinder that the cone fits exactly inside of

Question

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Answer 1

The volume of  a cone is 1/3 or the volume of a cylinder with the same area of base and height. 

 

Then, the volume of that cylinder is 3 times 34 cu in. It is 102 cubic inches.

Answer 2

Well, the formula for the volume of a cone is 1/3 • h • pi • r³ (which is a third of the volume of a cylinder)

 

So, a cylinder that can accommodate a cone of 34 in³ would have to be 3 times as large in capacity, at least.

 

Volume of said cylinder = 34 * 3 = 102 in³