Water is being pumped into an inverted conical tank at a rate of 8.7\displaystyle {8.7} cubic meters per min.
The tank has height 13\displaystyle {13} meters and the diameter at the top is 4\displaystyle {4} meters.

Find the rate at which the water level is rising when the height of the water is 3.5\displaystyle {3.5} meters.

  mmin\displaystyle \frac{\text{m}}{\min}