Question

water is flowing at the rate of 10cm cubed per second into a cylinder with a diameter of 30 cm. find the rate that the water is rising in cm/s

Answer 1

At a given height of h cm

volume of water in cylinder = π(15^2) h
d(volume)/dt = 30π dh/dt
10 = 30π dh/dt
dh/dt = 10/(30π) cm/s
= 1/(3π) cm/s