Question

Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container.

a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.

Answer 1

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

`$V = \pi r^2 h$`

= 3.14 x 3.5 x 3.5 x 21

= 807.76 cm cube

b). Volume of each tennis ball is given by :

`$V=(4)/(3)\pi r^3 $`

`$V=(4)/(3)* 3.14 * (3.5)^3 $`

= 179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

= 538.50 cm cube

Therefore, percentage of the container taken up by the three tennis ball is :

`$=(807.76 - 538.50)/(538.50) * 100$`

= 50 %