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

Answer:

9 pitchers

Step-by-step 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