Question

**Will Medal**
Calc 3
Can someone help me go through this problem

Answer 1

using this coordinate system

Answer 2

http://openstudy.com/users/ganeshie8#/updates/55a17ef6e4b05bcb08a1a29b

Answer 3

i can't draw to save my life so here is a start in 2D. \(\phi\) is the azimuth [and \(\theta\) the polar] from the dV element you have posted - always worth checking

integrating using that dV element will give you the volume you'd get by revolution of the shaded area in the drawing - that's how spherical works.

so you will need to add in extra for the cone that is missed out.