Finding the Rate of Water Input in a Leaking Conical Tank

[hallowon]

Homework Statement

Water is leaking out an inverted conical tank at the rate of 50L/min. The tank has a diameter of 10m at the top and is 6m deep. if the water is rising at the rate of 4cm/min when the greatest depth is 3m, find the rate at which the water is being poured into the tank.

Homework Equations

V =1/3 pi r^2 h

The Attempt at a Solution

dv/dt= -50L/min
dd/dt = 4cm/min
then when it says find the rate at which the water is being poured into the tank. I am not sure what to do with this since we already have a dv/dt

 

[LCKurtz]

Stay consistent with your variables. Is h the height of the water? If so, don't use d for that later. Remember, you have three volumetric rates involved in this problem. You have the rate volume is being added, subtracted, and the volume in the cone. You might start with an equation relating the three volumetric rates. And watch your units; you have both m and cm in the statement. Also note there is a relation between r and h.