Let S Be the Spherical Region of Radius R With \pi

Short Answer

Let S be the spherical region of radius R with $\pi$ /3 $\le$ $\varphi$ $\le$ 2 $\pi$ /3 and $\pi$ /3 $\le$$\theta$ $\le$ 2 $\pi$ /3.Find the value of R so that $\int _ { S } \vec { r } \cdot \vec { d A } = 40 \pi$ Give your answer to two decimal places.