Question

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answer 1

9 pitchers

Explanation:

Given

Cylinder 1:

`Radius = r`

`Height = 9`

Cylinder 2:

`Radius = 3r`

`Height = 9`

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

`Volume = \pi r^2h`

For A:

`V_A = \pi r^2*9`

`V_A = 9\pi r^2`

For B:

`V_B = \pi (3r)^2 * 9`

`V_B = \pi *9r^2 * 9`

`V_B = 9* 9\pi r^2`

In (a):
`V_A = 9\pi r^2`

So, we have ve:

`V_B = 9*V_A`

`V_B = 9V_A`

If the first cylinder can fill 1, then the second can fill 9 pitchers