- #1

Alex_Neof

- 41

- 2

## Homework Statement

Using a suitable Jacobian, evaluate the volume bounded by the surface ##z = 2 +x^2##, the cylinder ##x^2 + y^2 = a^2## (where ##a## is a constant), and the ##x-y## plane.

## Homework Equations

##x = r cos{\theta} ##

##y = r sin{\theta} ##

## The Attempt at a Solution

I determined the Jacobian to be ##r##.

The limits for ##\theta## would be from ##0## to ##2 \pi##.

The limits for ##r## would be from ##0## to ##a##.

Could anyone kindly guide me through the problem?