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28 November, 21:39

Billy's exercise ball contains 0.523 m3 of air. What is the radius of the exercise ball? Use 3.14 for π and round your answer to the nearest tenth of a meter.

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  1. 28 November, 21:54
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    The radius of exercise ball is 0.5m.

    Step-by-step explanation:

    As in general, ball is a sphere. The formula of volume of sphere is, V = 4/3*π*r³ and it is given that the volume of sphere is 0.523m³. Then, you can just substitue the value into the formula:

    V = 0.523m³

    V = 4/3*π*r³

    0.523 = 4/3*π*r³

    Next, is to make r as a subject by dividing 4/3 and π:

    0.523 = 4/3*π*r³

    π*r³ = 0.523: (4/3)

    π*r³ = 0.39225

    r³ = 0.39225/π

    Now, you can solev it to find the value of r:

    r³ = 0.39225/π

    r = ∛ (0.39225/π)

    = 0.5m (near. tenth)

    CHECKING:

    r = 0.5m

    V = 4/3*π*0.4998³ (in working, must give value in more than 3s. f for accurate answer)

    = 0.523m³ (3s. f) (shown in the question)
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