Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 = 16.

The volume of the solid will be "".

Given:

Cylinder,

and

Sphere,

Now,

The desired volume will be:

→

Integrating from the inside out yields,

→

→

Again by integrating, we get

→

→                      

hence,

→

Learn more about cylindrical coordinates here:

link

i believe the answer is letter c) 8

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right