Answer:
h = 39.8 inches
Explanation:
The volume of a cylinder is given by
V = pi r^2h
We know the diameter d = 32 so the radius is 1/2 of the diameter
r = d/2=32/2 = 16
32000 = pi (16)^2 h
32000 = 256 ( pi) h
Divide each side by 256 pi
32000 / 256 pi = h
125/pi = h
Using 3.14 for pi
39.8089172 = h
Rounding to the nearest tenth
h = 39.8 inches