Answer:
The lake's shape is a cylinder. The volume of a cylinder is given as: V=πhr^2 where r equals the radius, and h the depth. Therefre, the volume of the lake is:
V=πhr^2
V=π(20ft)(32,5ft)^2
V=66.364,1875 ft^3.
Given that 66.364,1875 ft^3 equals 496.44 gallons, we can say that 496.44 gallons of water is required to fill the lake.