A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.
v = (4/3) * pi *10^3 /2 + pi*10^2 * h = pi*10^2 * (h + 20/3) = 100pi * (h + 20/3)
