Solve the Problem$$\int _ { - 2 } ^ { 2 } \int _ { - \sqrt { 4 - y ^ { 2 } } } ^ { \sqrt { 4 - y ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 9 - x ^ { 2 } - y ^ { 2 } } } d z d x d y$$

Question

Examlex · Accepted Answer

The Answer of Solve the Problem$$\int _ { - 2 } ^ { 2 } \int _ { - \sqrt { 4 - y ^ { 2 } } } ^ { \sqrt { 4 - y ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 9 - x ^ { 2 } - y ^ { 2 } } } d z d x d y$$

Solve the Problem By Transforming to Cylindrical or Spherical Coordinates $\frac { 2 \pi } { 3 } \left( 9 - ( 5 ) ^ { 3 / 2 } \right)$

Definitions:

Solve the Problem By Transforming to Cylindrical or Spherical Coordinates 2π3(9−(5)3/2)\frac { 2 \pi } { 3 } \left( 9 - ( 5 ) ^ { 3 / 2 } \right)32π​(9−(5)3/2)

Definitions:

Solve the Problem By Transforming to Cylindrical or Spherical Coordinates $\frac { 2 \pi } { 3 } \left( 9 - ( 5 ) ^ { 3 / 2 } \right)$