The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 21,352 cubic feet, and we need to find the height. We are not given the radius, so we cannot solve for the height directly.
However, we can rearrange the formula for the volume to solve for the radius:
r = sqrt(V / (πh))
Substituting the given values, we get:
r = sqrt(21352 / (3.14 x 20))
r = 18.15 feet (rounded to two decimal places)
Now that we know the radius, we can use the formula for the volume of a cylinder to solve for the height:
V = πr^2h
21352 = 3.14 x (18.15)^2 x h
Solving for h, we get:
h = 21352 / (3.14 x (18.15)^2)
h = 20.01 feet (rounded to two decimal places)
Therefore, the height of the cylinder is approximately 20.01 feet.