Chapter 9, Problem 27P

To estimate the surface area and volume of a football, the diameter of the ball is measured at different points along the ball. The surface area, S, and volume, V, can be determined by:

$S=2\pi {\displaystyle {\int }_0^{L}r}$dz and V= $\pi {\displaystyle {\int }_0^L{r}^2}$dz

Use the data given in the table to determine the volume and surface area of the ball.