Find the Volume of the Indicated Region $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

question 236

Multiple Choice

Find the volume of the indicated region.
-the region bounded above by the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ and below by the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$

• A) \(2 \pi ( 2 - \sqrt { 2 } )\)
• B) \(2 \pi ( 2 - \sqrt { 3 } )\)
• C) \(\frac { 8 } { 3 } \pi ( 2 - \sqrt { 2 } )\)
• D) \(\frac { 8 } { 3 } \pi ( 2 - \sqrt { 3 } )\)

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