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8 November, 07:25

The A company is selling two different sized medicine balls to a local college's athletic department. ratio of the diameters is 15: 11. If the diameter of the smaller ball is 55 cm, what is the volume of the larger ball?

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  1. 8 November, 10:43
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    Volume of the larger ball = 220893.233 cm^3

    Step-by-step explanation:

    The ratio of the diameter is

    r = 15/11

    r = larger diameter / smaller diameter

    r = larger diameter / 55 cm

    larger diameter = r*55 cm

    larger diameter = 75 cm

    larger radius = larger diameter/2 = 37.5 cm

    Volume of the ball = (4/3) * π*radius^ (3)

    Volume of the ball = (4/3) * π * (37.5 cm) ^ (3)

    Volume of the larger ball = 220893.233 cm^3
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