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Find the Mass of the Surface S Having the Given x2+y2+z2=9x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9

Question 69

Multiple Choice

Find the mass of the surface S having the given mass density. S is the hemisphere x2+y2+z2=9x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9 , z≥0z \geq 0 ; the density at a point P on S is equal to the distance between P and the xy-plane.


A) 9π9 \pi
B) 27π27 \pi
C) 9
D) 3π3 \pi

Correct Answer:

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