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A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)

1 Answer

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Answer:

18 cubic inches

Explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

Volume formulas

The volume of a cone is given by ...

V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

V = πr²h . . . . . volume of a cylinder with radius r and height h

Relation between volumes

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

(cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

User Michel Samia
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