Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 = 72.

Let be the solid. Then the volume is



which follows from the facts that


(by computing the Jacobian)

and


(we take the positive solution, since it's clear that lies above the - plane)

(again, taking the positive root for the same reason)

It’s 24.6 after you round to the nearest tenths the answer should be 25.0

Idon’t know what the answer is i wish i could