Chapter 12.3, Problem 19WE

To determine

To calculate: The ratio of volumes of cylinder and cone

Answer to Problem 19WE

The value is $1:3$

Explanation of Solution

Given information: Consider the given information,

Radius of cylinder and cone = 15units and height of cylinder and cone = 48 units

Formula used: Consider the given formula,

r= radius, h= height

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

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

Calculation : Consider the given information the formula is,

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

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

  $\frac{1}{3}\pi r^{2}h=11304$

  $\pi r^{2}h=33912$

Ratio = $11304:33912$ = $1:3$