Step-by-step explanation:
Diameter = 1 1/6 * 15 1/4 = 17 19/24 ft
radius is 1/2 of diameter = 8 43/48 = ~ 8.8958 ft
Cylinder Volume = pi * r^2 * height
= 3.14 * (8.8958)^2 * 15 1/4 = ~ 3789.42 ft^3