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 $\varrho = 1 , z \geq 0$ , and above by the cardioid of revolution $\varrho = 9 + 5$ cos $\varphi$

• A) \(\frac { 6367 } { 6 } \pi\)
• B) \(\frac { 6367 } { 10 } \pi\)
• C) \(\frac { 6367 } { 8 } \pi\)
• D) \(\frac { 6367 } { 9 } \pi\)

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