Is My Disk Method Calculation Correct for Finding Volume?

[TheTaoOfBill]

Homework Statement

Find the volume of the solid generated by revolving the shaded region about the given axis.

Homework Equations

I used the disk method to solve this
V = int from a to b(pi * R(x)^2)

The Attempt at a Solution

V = int from 0 to 2( pi * (3Y/2)^2 dy) = 6pi

 

[Mark44]

Find the volume of the solid generated by revolving the shaded region about the given axis.

Which axis? It's not given.

 

[TheTaoOfBill]

Which axis? It's not given.

sorry... Over the Y axis.

 

[Mark44]

The region is rotated around (or about) the y-axis. Yes, that's the right answer.