A reservoir is shaped like an inverted cone. Its height is 4 cm and the diameter of its top face is 2 cm. It empties its water with a faucet located at its lower end (the apex of the cone). We would like to determine the rate at which the water empties from the cone at the moment when the water level in the cone is 2 cm , given that, at that same moment the level lowers at a rate of 11 cm/s.

a) express V as a function of x

b) compute dtdVat the moment in the question, give the answer w/ 3 decimal place.