- #1

- 66

- 0

I know how to set up the the integral to find the volume inside the sphere but Im not quite sure how to also find the outside of the cylinder. Can someone confirm if this right or wrong?

x^2 + y^2 +z^2 = 16

z^2 = 16 - x^2 - y^2

z = sqrt( 16 - r^2 )

since the problem asks for volume of the sphere z = 2*sqrt( 16 - r^2 )

x^2 + y^2 = 4

r^2 = 4

r = 2

so 2 < r < 4, and 0 < theta < 2pi

are my bounds set up correct?