**A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing?**

**Answer:**

Volume (V) = (pie)(r^2)h

r = 5 m; and radius is constant

dV/dt = (pie) r^2 dh/dt

Substitutiong values

3 = (pie)(5^2) dh/dt

dh/dt = 0.0382 m/min