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Find the Mass of the Solid Whose Density Is Equal z=4z = 4

Question 77

Multiple Choice

Find the mass of the solid whose density is equal to twice the distance from the origin, which is below the plane z=4z = 4 and above the cone z2=x2+y2z ^ { 2 } = x ^ { 2 } + y ^ { 2 } and the xy plane.


A) 83π\frac { 8 } { 3 } \pi
B) 163π\frac { 16 } { 3 } \pi
C) 323π\frac { 32 } { 3 } \pi
D) 2563π(221) \frac { 256 } { 3 } \pi ( 2 \sqrt { 2 } - 1 )

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