Question

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

8 in3
24 in3
48 in3
72 in3

Answer 1

The correct answer is letter D. 72 in3

Answer 2

72 cubic inches

Explanation:

Volume of cone =
`(1)/(3)\pi r^(2) h` --1

Volume of cylinder =
`\pi r^(2) h` --2

We are given that a cylinder should fit exactly inside the cone

On comparing 1 and 2 we can see:

`\text{Volume of cone}= (1)/(3) \text{Volume of cylinder}`

Since we are given the volume of cone is 24 cubic inches .

So,
`24= (1)/(3) \text{Volume of cylinder}`

`24 * 3= \text{Volume of cylinder}`

`72= \text{Volume of cylinder}`

Hence the volume of cylinder is 72 cubic inches

Option D is correct.