# Filling up spheres

**Calculus**Level 4

Determine how fast the level of the water is increasing (in \(m\: /min \)) at the instant the tank accumulates a volume of \(\large \frac{325}{24}\pi \: \text{m}^{3} \) of water. Assume that the water level at any point on the surface is always equal, that is, no waves occur.

The rate can be expressed in the form \( \frac {A}{B} \) where \(A\) and \(B\) are coprime integers. Input your answer as \( A + B \).