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Use a Spherical Coordinate Integral to Find the Volume of the Given

Question 354

Multiple Choice

Use a spherical coordinate integral to find the volume of the given solid.
-the solid bounded below by the hemisphere ϱ=1,z0\varrho = 1 , z \geq 0 , and above by the cardioid of revolution ϱ=9+5\varrho = 9 + 5 cos φ\varphi


A) 63676π\frac { 6367 } { 6 } \pi
B) 636710π\frac { 6367 } { 10 } \pi
C) 63678π\frac { 6367 } { 8 } \pi
D) 63679π\frac { 6367 } { 9 } \pi

Correct Answer:

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