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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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"/" 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.

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