Answer:
h = 39
Explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume is 10000pi and the diameter is 32
The radius is 32/2 = 16
10 000 pi = pi (16)^2 h
Divide each side by pi
10 000 pi/pi = pi/pi (16)^2 h
10 000= 256 h
Divide each side by 256
10000/256 = 256h/256
39.0625 = h
To the nearest whole number
h = 39