Find the surface area cut out of sphere $x^2+y^2+z^2=1$ by the cylinder $x^2+y^2=a^2$ such that $0\le a \le 1$.
How do I find the bounds of the integral? Is it $0\le\theta\le2\pi$ and $0\le r\le a$ in polar coordinates?
2026-04-11 16:58:09.1775926689
Bounds of the integral for the area of a sphere cut out of a cylinder.
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