Related Rates Problem I Can't Solve

Question

Consider a right cone (pointed downwards) that is leaking water. The dimensions of the conical tank are a height of 19 ft and a radius of 8 ft.

How fast (in ft/min) does the depth of the water change when the water is 12 ft high if the cone leaks water at a rate of 12 ft³/min?

Find the rate (in ft²/min) at which the surface area of the water changes when the water is 12 ft high if the cone leaks water at a rate of 12 ft³/min.

Answer 1