Chapter 12.3, Problem 18WE

To determine

To calculate: Which container holds more and find the ratio of their volumes

Answer to Problem 18WE

The first one holds more and the ratio of the container is $2:1$

Explanation of Solution

Given information: Consider the given information,

Radius of first container = 2r, Height = h

Radius of second container = r, Height = 2h

Formula used: Consider the given formula,

r = radius, h = height, l = length

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

Calculation : The volume of first container is,

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

  $=4\pi r^{2}h$

Volume of second container is,

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

  $=2\pi r^{2}h$

Therefore, the first container holds more.

Ratio = $\frac{4\pi r^{2}h}{2\pi r^{2}h}$ = $2:1$