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  1. #1
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    volume of sphere with hole in it

    A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
    so volume of a sphere 4/3pi(r^3)
    but if u take the volume of both and subtract its not right
    Last edited by CaptainBlack; August 8th 2009 at 12:18 AM. Reason: spelling
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  2. #2
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    Quote Originally Posted by dat1611 View Post
    A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
    so volume of a sphere 4/3pi(r^3)
    but if u take the volume of both and subtract its not right
    show what you did.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by dat1611 View Post
    A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
    so volume of a sphere 4/3pi(r^3)
    but if u take the volume of both and subtract its not right
    see here

    CB
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    4/3pi(13)^3-4/3pi(7)^3

    8788pi/3-1372pi/3

    2472pi
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    Quote Originally Posted by dat1611 View Post
    4/3pi(13)^3-4/3pi(7)^3

    8788pi/3-1372pi/3

    2472pi
    the part that's drilled out is not a sphere.
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    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by dat1611 View Post
    A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid

    can anyone give me an answer for this
    The volume of the solid is given by: V=2\pi\int_0^{2\sqrt{30}}y^2-120\,dy (Do you see why?)
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