Saturday, 18 February 2017

Question of the day 16-2-2017

A cone and sphere have the same radius of 12 cm. Find the height of the cone if the cone and sphere have the same volume.

a) 48 cm
b) 50 cm
c) 52 cm
d) None.
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1 comment:

  1. Bhaskar Reddy21 February 2017 at 23:40

    Answer: Option a
    Explanation:
    Let the height of the cone be h
    Volume of the cone
    =1/3×π×12×12×h
    =48πh cm3

    Volume of the sphere
    =4/3×π×r3
    =4/3π(12)3
    =2304 cm3
    Since the volumes are equal
    48πh=2304π
    Solving for h
    h=48 cm

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