A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is r = 4.4 ft, the height of the cylindrical portion is h = 9.8 ft, and the overall height is H = 18.5 ft?

770.7 ft^3.

Explanation:

Height of the cylinder + height of the cone = total height

Height of the cone = 18.5 - 9.8

= 8.7 m

Volume of a cylinder = pi * r^2 * h

= pi * 4.4^2 * 9.8

= 596.05 ft^3

Volume of a cone = 1/3 * pi * r^2 * h

= 174.6 ft^3

Volume of the bin = volume of cone + volume of cylinder

= 174.6 + 596.05

= 770.7 ft^3.