Maths-
General
Easy

Question

A hemisphere , cylinder and a cone have equal base diameters and have the same height. Prove that their volumes are in the ratio 2:3:1

hintHint:

Volume of cylinder equals pi r squared h

The correct answer is: 1:2:3


    Explanation:
    • We have given a hemisphere, a cylinder and a cone have equal base diameters and the same height.
    • We have to prove that their volumes are in ration 2:3:1
    Step 1 of 1:
    Volume of cone will be 1 third pi r squared h
    Volume of hemisphere will be 2 over 3 pi r cubed
    Volume pf a cylinder is pi r squared h
    It is given that the hemisphere, a cylinder and a cone have equal base diameters and the same height.
    It means r = h
    So,
    The ratio will be
    1 third pi r squared h colon 2 over 3 pi r cubed colon pi r squared h
    1 third colon 2 over 3 colon 1
    1:2:3

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