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    A football can occupy 36π cm3cm^3 cm3​of air. Its radius (in cm) will be:
    Question

    A football can occupy 36π cm3cm^3 ​of air. Its radius (in cm) will be:

    A.

    5

    B.

    2

    C.

    4

    D.

    3

    Correct option is D

    Given:

    Volume of football = 36πcm336\pi cm^3​​

    Formula Used:

    Volume of sphere =43πr3 \frac{4}{3} \pi r^3​​

    Solution: 

    Volume of sphere = 36π\pi​​

    43πr3=36π\frac{4}{3} \pi r^3 = 36\pi​ 

    r3=36×34r^3 = \frac{36 \times 3}{4}

    r3=27r^3 = 27​​

    r=273r= \sqrt[3]{27}​​

    r = 3cm 

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