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Math Help - Surface areas and Volumes

  1. #1
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    Red face Surface areas and Volumes

    sorry,if i had done any mistake,because i am new to these forums..

    A cone,a hemisphere and a cylindrical stand on equal bases and have the same height.Show that their volumes are in the ratio 1:2:3.

    I request you to please answer my question.
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  2. #2
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    Quote Originally Posted by rickymylv View Post
    sorry,if i had done any mistake,because i am new to these forums..

    A cone,a hemisphere and a cylindrical stand on equal bases and have the same height.Show that their volumes are in the ratio 1:2:3.

    I request you to please answer my question.
    Since there is a hemisphere involved you know that h = r.

    Now use the formulae of the volumes:

    V_{cone}=\dfrac13\pi r^2\cdot r

    V_{hemisphere}=\dfrac12 \cdot \dfrac43\pi r^2\cdot r = \dfrac23\pi r^2\cdot r

    V_{cylinder}=\pi r^2\cdot r

    You'll get:

    V_{cone} : V_{hemisphere} : V_{cylinder} = \dfrac13 :\dfrac23 :\dfrac33  = 1 : 2 : 3
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