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Math

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Find the volume V of the described solid S.
The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base are squares.

  • Math -

    using symmetry,

    v = 4∫[0,4r]∫[0,√(16r^2-x^2)] 4xy dy dx
    = 512r^4

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