Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.

a. What is the volume of the cylinder rounded to the nearest cubed centimeter?

b. What is the total volume of the three balls rounded to the nearest cubed centimeter?

c. What percent of the volume of the container is occupied by the three balls?

Question

Mathematics

Braelyn

6 May, 09:32

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.

a. What is the volume of the cylinder rounded to the nearest cubed centimeter?

b. What is the total volume of the three balls rounded to the nearest cubed centimeter?

c. What percent of the volume of the container is occupied by the three balls?

+1

Answers (1)

Know the Answer?

Troy Fisher · Answer 1

So lets get one by one:

a) height = 3 * diameter

cross section area = pi (diameter/2) ^2

Volume = 3/4 pi diameter^3

b) volume of 3 balls = 3 * 4/3 pi (diameter/2) ^3

=1/2 pi diameter^3

c) The ratio is the answer to b over the answer to a

= (1/2) / (3/4) = 2/3

I hope this is what you were looking for.