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    The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.
    Question

    The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.

    A.

    41\sqrt {41}​ cm

    B.

    √43 cm

    C.

    42\sqrt {42}​ cm

    D.

    47\sqrt {47}​ cm

    Correct option is C

    Given:
    Volume of the right circular cone = 168π cm³
    Height of the cone = 0.12 m = 12 cm (converted to cm)
    Formula Used:
    The formula for the volume of a cone is:
    V = 13\frac 13​× π × r² × h
    where,
    V = Volume, r = radius, h = height, π = constant
    Solution:
    168π=13×π×r2×12168π=4πr2r2=1684=42r=42168\pi = \frac{1}{3} \times \pi \times r^2 \times 12 \\168\pi = 4\pi r^2 \\r^2 = \frac{168}{4} = 42 \\r = \sqrt{42}​​


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