(Solved): A tank of water in the shape of a cone is leaking water at a constant rate of 2 feet 3 /hour. Th ...

A tank of water in the shape of a cone is leaking water at a constant rate of 2 feet ${}^{?}3$ /hour. The base radius of the tank is $5\mathrm{ft}$ and the height of the tank is $14\mathrm{ft}$. 1. The rate at which the depth of the water in the tank is changing, when the depth of the water is $6\mathrm{ft}$, is equal to feet/hour 2. The rate at which the depth of water is decreasing, when the depth is at a height of 6 feet, is feet/hour