Let S Be the Outwardly-Oriented Surface of a Solid Region $10 \mathrm { ft } ^ { 3 }$

Short Answer

Let S be the outwardly-oriented surface of a solid region E where the volume of E is $10 \mathrm { ft } ^ { 3 }$ . If $\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$ and $r = | \mathbf { r } |$ , evaluate the surface integral $\iint _ { s } \nabla \left( r ^ { 2 } \right) d \mathbf { S }$ .