Cone Problem: Water is flowing at 5 m^3/sec into a tank.

[soulofeternity]

Water is flowing at a rate of 5m^3/s into the conical tank shown in the picture.
Find h as a function of the time during which water has been flowing into the tank.

The answer is supposed to be cube root of (240t divided by pi). (srry I don't have a program to type that.)

 

[galactus]

Start by using similar triangles.

\(\displaystyle \L\\\frac{r}{h}=\frac{30}{120}\)

Solve for r.