Question

A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water.

To the nearest inch what is the height of the car?

Answer 1

The height of the cone is 5.09 inches

Explanation:

Given:

The volume of the cone = 12 cubic inches

The diameter of the cone = 3 inches

To Find :

The height of the cone = ?

Solution:

We know that the volume of the cone is

Volume =
`\pi r^2(h)/(3)`

where

r is the radius of the cone

h is the height of the cone

Now substituting the given values

`12 = \pi (1.5)^2 ( h )/(3)`

`(12)/(\pi 2.25) = (h)/(3)`

`h = (12)/( 2.25 \pi) * 3`

`h = ( 12)/(7.065) * 3`

`h = 1.698 * 3`

h = 5.09 inches