Answer:
2268π ft³ ≈ 7125 ft³
Explanation:
You want the volume of a 22 ft long cylinder capped by a hemisphere 9 ft in radius.
Cylinder
The formula for the volume of a cylinder of radius r and height h is ...
V = πr²h
Hemisphere
The formula for the volume of a hemisphere of radius r is ...
V = 2/3πr³
Total volume
The sum of the volumes of the two figures is ...
Vtotal = πr²h +2/3πr³ = πr²(h +2/3r)
Using the given values for height and radius, we find the volume to be ...
Vtotal = π(9 ft)²(22 ft + 2/3(9 ft)) = π(9 ft)²(28 ft)
Vtotal = 2268π ft³ ≈ 7125 ft³
The volume of the composite is about 7125 cubic feet.