Chapter 12.3, Problem 21WE

To determine

To calculate: The height of the cone

Answer to Problem 21WE

The height of the cone is $h=24cm$

Explanation of Solution

Given information: Consider the given information,

Radius of cylinder is = 6cm

Height of the cylinder = 18cm

And radius of the cone = 9cm

Formula used: Consider the given formula,

r = radius, h = height

Volume = $\pi r^{2}h$

Volume = $\frac{1}{3}\pi r^{2}h$

Calculation : Consider the given information the formula is,

Volume of cylinder = Volume of cone

  $\pi r^{2}h$ = $\frac{1}{3}\pi r^{2}h$

  $\frac{3\times {(6)}^2\times 18}{{(9)}^2}=h$

  $h=24cm$