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

Question 266

Multiple Choice

Use a spherical coordinate integral to find the volume of the given solid.
-the solid bounded below by the sphere ϱ=6cosφ\varrho = 6 \cos \varphi and above by the cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } }


A) 12π12 \pi
B) 545π\frac { 54 } { 5 } \pi
C) 21625π\frac { 216 } { 25 } \pi
D) 9π9 \pi

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