Question

find the volume of the solid in the first octant bounded by the cylinder z=9-y^2 and the plane x=2

Answer 1

first octant---->x>0, y>0, z>0
y goes from 0 to 3
x goes from 0 to 2
\[\int\limits_{0}^{2}\int\limits_{0}^{3}9-y^2dydx\]

Answer 2

Do you know how to solve that integral?

Answer 3

Yes thanks!

Answer 4

Great!
Glad to help!