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Use a Double Integral in Polar Coordinates to Find the Volume

Question 90

Multiple Choice

Use a double integral in polar coordinates to find the volume of the solid inside the hemisphere z=64x2y2z = \sqrt { 64 - x ^ { 2 } - y ^ { 2 } } but outside the cylinder x2+y2=25x ^ { 2 } + y ^ { 2 } = 25


A) 23393/2\frac { 2 } { 3 } 39 ^ { 3 / 2 }
B) 23393/2π\frac { 2 } { 3 } 39 ^ { 3 / 2 } \pi
C) 43393/2π\frac { 4 } { 3 } 39 ^ { 3 / 2 } \pi
D) 23391/2π\frac { 2 } { 3 } 39 ^ { 1 / 2 } \pi
E) 32393/2\frac { 3 } { 2 } 39 ^ { 3 / 2 }

Correct Answer:

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