# Computing areas and volumes using multiple integrals.

Not what you're looking for? Search our solutions OR ask your own Custom question.

(1) Find the volume of the solid bounded by the paraboloid x2 + y2 = 2z, the plane

z = 0 and the cylinder x2 + y2 = 9.

(2) Find the volume of the region in the first octant bounded by x + 2y + 3z = 6.

(3) Find the area of the solid that is bounded by the cylinders x2+z2 = r2 and y2+z2 =

r2.

(4) Find the volume enclosed by the surfaces z = 8 − x2 − y2 and z = x2 + 3y2.

https://brainmass.com/math/integrals/computing-areas-and-volumes-using-multiple-integrals-43678

#### Solution Summary

Computing areas and volumes using multiple integrals is investigated. The solution is detailed and well presented.

$2.49