# Multivariable Calculus : Volume of a Solid of Revolution

Find the volume of the given solid: The solid lies under the hyperboloid z = xy and above the triangle in the xy-plane with vertices (1, 2), (1, 4), and (5, 2)

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#### Solution Preview

Well, above xy-plane means that z>0. Then we have the limits of z.

Then we must consider 2-D i.e. xy plane and those 3 points to find the limits of x ...

#### Solution Summary

The volume of a solid of revolution is found.

$2.49