Thank you for the explanation. I got the limits from trying to find the answer on the web and what have you. I knew the answer, just not how to get it which is rather important.
Thanks for the help.
Does the 8 come from:
2 (take the upper part of the symmetrical circle on the z & y axis)
2 (take the upper part of the symmetrical circle on the x & y axis)
2 (take the positive part of the half-circle on the x & y axis)
The shape would be slightly larger than a sphere.
I'm having a...
The volumes are cylinders around the Z axis and the X axis.
2*2 is for symmetry of the cylinder (so you're only using 1/4 of the circle about the xy axis instead of the entire circle. However, I'm unsure as to where the final 2 comes into play.
Homework Statement
Bounded by the cylinders x2 + y2 = r2 and y2 + z2 = r2
We're supposed to stick to double integrals as triple integrals are taught in a later section.
The Attempt at a Solution
Edit:
Alright, I think I go to the right answer.
x = sqrt(r2 - y2)
z = sqrt(r[SUP2[/SUP] - y2)...