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

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.

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Ngọc Hoa 3 months 2021-08-18T06:29:53+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-18T06:31:10+00:00

    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 %

     

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