Can someone please help with multivariable calculus? I have an exam tomorrow and I am struggling :/.

Question

anonymous · Answer

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anonymous · Answer

I know that I need to convert to spherical coordinates but I have no idea how to set up the integral.

ganeshie8 · Answer

A rough sketch may help visualize the volume that you want to find

ganeshie8 · Answer

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ganeshie8 · Answer

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ganeshie8 · Answer

try finding the intersection :

x^2+y^2+z^2 = 9

8z = x^2+y^2

8z + z^2 = 9

z = 1

x^2 + y^2 = 8

ganeshie8 · Answer

that means the intersection curve is a circle of radius $\sqrt{8}$

anonymous · Answer

Am I subtracting the outside of the paraboloid from the sphere?

ganeshie8 · Answer

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