A Fluid Has Density 1500 and Velocity Field $\mathbf { v } = - y \mathbf { i } + x \mathbf { j } + 2 z \mathbf { k }$

Short Answer

A fluid has density 1500 and velocity field $\mathbf { v } = - y \mathbf { i } + x \mathbf { j } + 2 z \mathbf { k }$ . Find the rate of flow outward through the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$ .