Question

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

Answer 1

Answer:

The  height of the cone is 5.09 inches

Step-by-step 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  = $\pi r^2\frac{h}{3}$

where

r is the radius of the cone

h is the  height of the cone

Now substituting the given values

$12 = \pi (1.5)^2 \frac{ h }{3}$

$\frac{12}{\pi 2.25} = \frac{h}{3}$

$h = \frac{12}{ 2.25 \pi} \times 3$

$h = \frac{ 12}{7.065} \times 3$

$h = 1.698 \times 3$

h =  5.09  inches