Solve the Problem $x ^ { 2 } + y ^ { 2 } = 64$

question 379

Multiple Choice

Solve the problem.
-the cylinder $x ^ { 2 } + y ^ { 2 } = 64$ and the plane $z = 6$ .

• A) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { \sqrt { 64 - x ^ { 2 } } } \int _ { 0 } ^ { 6 } d z d y d x\)
• B) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { \sqrt { 64 - y ^ { 2 } } } \int _ { 0 } ^ { 6 - y } d z d y d x\)
• C) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { \sqrt { 64 - x ^ { 2 } } } \int _ { 0 } ^ { y } d z d y d x\)
• D) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { \sqrt { 64 - y ^ { 2 } } } \int _ { 0 } ^ { 6 } d z d y d x\)

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