Question

45 POINTS! Three balls are packaged in a cylindrical container. 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?

Answer 1

a) 5177 cubic centimeters

b) 3451 cubic centimeters

c) 66.66% (67%)

Explanation:

a) V=pi*r2*h

V=pi*6.5^2*39

V=5176.5593

b) V=4/3*pi*r^3

V=4/3*pi*6.5^3

V=1150.34651

remember we have to multiply by 3 since there are 3 balls:

V=3451.03953

c) 3451/5177=0.66660*100=66.66%