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?

Question

asked Dec 28, 2021 154k views

1 Answer

Chand Mohd · Answer 1 · 2022-01-01T07:53:29+0000

Answer:

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