Sketch the Solid Bounded by the Graphs of the Equations $z = x ^ { 2 } + y ^ { 2 }$

question 101

Essay

Sketch the solid bounded by the graphs of the equations $z = x ^ { 2 } + y ^ { 2 }$ and $z = 50 - x ^ { 2 } - y ^ { 2 }$ , and then use a triple integral to find the volume of the solid.

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Definitions:

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