Find the volume bounded between the sphere of radius a centered at (0,0,0) and the cone z=sqrt(x2 +y2).
The Attempt at a Solution
So, subbing our definition for z into the the equation for a sphere of radius a centered at (0,0,0):
2x2 + 2y2 = a2. Converting to cylindrical coordinates,
2r2 = a2
r = a/sqrt(2). I use the bounds,
I use 1*r as my integrand to find volume and I get a3*pi/2. Am I doing this right?