Question

(08.01 MC)

A cone has a volume of 24 cubic inches. What is the volume of a cyinder that the cone fits exactly inside of? (1 point)
Select one:
b. 24 in
c. 48 in
d. 72 in

Answer 1

d. 72 in³

Explanation:

To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:

From the question volume of the cone = 24 cubic inches

volume of a cone =
`(1)/(3)` πr²h

and volume of a cylinder = πr²h

This implies

volume of a cone =
`(1)/(3)` πr²h

=
`(1)/(3)` (volume of a cylinder)

volume of a cone =
`(1)/(3)` (volume of a cylinder)

24 =
`(1)/(3)` (volume of a cylinder)

multiply both-side of the equation by 3

24×3 =
`(1)/(3)` (volume of a cylinder)

72 =volume of a cylinder

Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches