Finding and Evaluating Surface Integralsa. Hemisphere cut
Chapter 16, Problem 14PE(choose chapter or problem)
Problem 14PE
Finding and Evaluating Surface Integrals
a. Hemisphere cut by cylinder Find the area of the surface cut from the hemisphere by the cylinder
b. Find the area of the portion of the cylinder that lies inside the hemisphere. (Hint: Project onto the xz-plane. Or evaluate the integral where h is the altitude of the cylinder and ds is the element of arc length on the circle in the xy-plane.)
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