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    Find the volume of the region common to the interiors of the cylinders x2+y2=a2 and x2^+z^2=a^2.

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    Find the volume of the region common to the interiors of the cylinders x2+y2=a2 and x2^+z^2=a^2.

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    https://brainmass.com/math/geometry-and-topology/volume-region-common-interiors-cylinders-56699

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    "/" is the integral sign.

    Find the volume of the region common to the interiors of the cylinders x2+y2=a2 and x2+z2=a2.

    Solution:

    We know that volume V= z dx dy

    V= sqrt( a^2-x^2) dx ...

    Solution Summary

    The volume of the region common to the interiors of two cylinders is found. A cylinder function is provided.

    $2.49

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