posted by alana on .
how do you find the volume of the solid that lies within the sphere
above the xy plane, and outside the cone
In spherical coordinates the region outside the cone and above the xy plane corresponds to theta (the angle between the z-axis and the position vector)between
arctan(1/2) and pi/2.
So, the volume is:
Integral over phi from 0 to 2pi
Integral over theta from atn(1/2) to pi/2
Integral over r from 0 to 3
dr dtheta dphi r^2 sin(theta)
This is incorrect