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

Solution :

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 :

     $V=\frac{4}{3}\pi r^3$

    $V=\frac{4}{3}\times 3.14 \times (3.5)^3$

       =  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 :

$=\frac{807.76 - 538.50}{538.50} \times 100$

= 50 %