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    If the volume of a cone is 48π cm3cm^3cm3​ and the height is 10 cm . Find the radius of its base in nearest one decimal place.
    Question

    If the volume of a cone is 48π cm3cm^3​ and the height is 10 cm . Find the radius of its base in nearest one decimal place.

    A.

    2.8 cm

    B.

    3.8 cm

    C.

    4.8 cm

    D.

    1.8 cm

    Correct option is B

    Given
    Volume of the cone (V) = 48πcm348\pi cm^3​​
    Height of the cone (h) = 10 cm

    Formula Used
    Volume of a cone =13πr2h \frac{1}{3}\pi r^2 h​​

    Solution
    Substitute the given values into the volume formula:
    48π=13πr2×1048×3=10r2144=10r2r2=14.4r=14.43.794cm48\pi = \frac{1}{3}\pi r^2 \times 10\\48 \times 3 = 10 r^2\\144 = 10 r^2\\r^2 = 14.4\\r = \sqrt{14.4} \approx 3.794 cm​​
    Rounding to one decimal place, the radius is 3.8 cm.
    Final Answer
    So the correct answer is (b)

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