Use Spherical Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$

question 1

Short Answer

Use spherical coordinates to find the volume of the solid that lies within the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ above the xy-plane and below the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ . Round the answer to two decimal places.

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