Question

If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute, how fast is the height of the water increasing?

Answer 1

Find the volume
V=hpir^2
v=hpi5^2
v=25hpi
v=78.5398h
for t=1, the amount of water is 3
3=78.5398h
divide both siddes by 78.5398
0.038197=h
this is for 1 minute
0.038197meters per minute or
3.8cm per minute