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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?


15 in3

20 in3

25 in3

30 in3

Verified Answer :

Volume of Cone:

1/3 Bh where B is the area of the base

1/3 Bh = 5
Bh = 15
B = 15/h

The cylinder has the same base area as the cone.

Volume of Cylinder:

V = B*h

B = V/h and B = 15/h

The height of the cone and the cylinder are the same.

V/h = 15/h

Volume of Cylinder = 15.

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