Question 275149
A farmer's silo is the shape of a cylinder with a hemisphere as the roof.
 If the height of the silo is 68 feet and the radius of the hemisphere is r feet,
 express the volume of the silo as a function of r.
:

The vol of a sphere = {{{(4/3)pi*r^3}}}
then the vol of hemisphere = {{{(2/3)pi*r^3}}}
:
The height of the cylinder portion = (68-r)
:
Vol = {{{(pi*r^2*(68-r))+((2/3)pi*r^3)}}}