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Question

Engineering Mathematics Question on Vector identities

The value of the surface integral
szdxdy\displaystyle\oiint_{s}zdxdy
where S is the external surface of the sphere x2 + y2 + z2 = R2 is

A

0

B

4πR3

C

4π3R3\frac{4\pi}{3}R^3

D

πR3

Answer

4π3R3\frac{4\pi}{3}R^3

Explanation

Solution

The correct option is (C): 4π3R3\frac{4\pi}{3}R^3