Question 656032
A farmer's silo is the shape of a cylinder with a hemisphere as the roof.
 If the height of the silo is 117 feet and the radius of the hemisphere is
 r feet, express the volume of the silo as a function of r.
:
Two formulas: volume of a cylinder v = {{{pi*r^2h}}} and 
volume of a sphere: v = {{{4/3}}}*{{{pi*r^3}}}; hemisphere {{{2/3}}}*{{{pi*r^3}}}
:
V(r) = ({{{pi*r^2*117}}}) + ({{{2/3}}}*{{{pi*r^3}}})
: