Question

a cone has the diameter of 3 inches. the cone holds 12 cubic inches of water. to the nearest inch, what is the height of the cone?

Answer 1

The height is about 5 inches.

Explanation:

The volume for a cone is
`(1)/(3)` × π × r² × h

The radius of the cone is 1.5

12=
`(1)/(3)` × π × 1.5² × h

12=
`(1)/(3)` × π × 2.25 × h

12=0.75×π×h

Divide both sides by 0.75

16=π×h

Divide both sides by π

5≈h

The height is about 5 inches.