Evaluate $\iiint _ { z } e ^ { \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 3 / 2 } } d V$

question 115

Short Answer

Evaluate $\iiint _ { z } e ^ { \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) ^ { 3 / 2 } } d V$ , where E is the solid bounded by the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$ and the cone $z = \frac { 1 } { \sqrt { 3 } } \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

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