Question

If a cylinder with height 99​ inches and radius rr​ is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 99​ inches and radius 2 r2r​ fill?

Answer 1

4 pitchers can a cylinder with a height of 9 inches and radius 2r fill.

Explanation:

Given that,

If a cylinder with a height of 9 inches and radius r is filled with water, it can fill a certain pitcher.

We have to determine,

How many of these pitchers can a cylinder with a height of 9 inches and radius of 2r fill?

According to the question,

Let n be number of pitchers cylinder,

If a cylinder with a height of 9 inches and radius r is filled with water.

Then,

The volume of the cylinder is given by,



And these pitchers can a cylinder with a height of 9 inches and radius of 2r fill,

Then,

The volume of the cylinder is given by,



Therefore,

The number of pitchers can a cylinder with a height of 9 inches and radius of 2r fill is determined by the ratio of the volume of the second cylinder and first cylinder.



Hence, 4 pitchers can a cylinder with a height of 9 inches and radius 2r fill.