Answer to Question #142032 in Calculus for FA

Question

How can the surface of a sphere S2 of radius R be defined in terms of spherical coordinates? Express the surface element dS on a sphere S2 in spherical coordinates and
explain its form using words and diagrams. Determine the area of the sphere by evaluating the integral R
S2
dS. Calculate also R
S2
dS and explain why these two surface integrals
are not equal.

Answer 1

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