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anonymous

  • 5 years ago

The volume of a solid sphere of radius r is given by the equation V=4/3TTr^3. Derive this equation by using either the disk or shell method for finding the volume of a solid of revolution.

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  1. anonymous
    • 5 years ago
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    a circle is x^2 + y^2 = r^2 , we can revolve the region bounded by y=0 and y = sqrt (r^2 - x^2) about the x axis using disc method

  2. anonymous
    • 5 years ago
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    with limits of integration from -r to r

  3. anonymous
    • 5 years ago
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    so integral pi * [ sqrt (r^2 - x^2) ] ^2 from -r to r

  4. anonymous
    • 5 years ago
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    quite easy..i am in sixth grade and know that ...how old are u The volume of a sphere is (4/3)*pi*r3 So if you are given a volume the radius is r = {Vol / ((4/3) *(pi))}(1/3) The 1/3 means the cubic root

  5. anonymous
    • 5 years ago
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    mathhelpplz your no help you have to solve this problem by calculus

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