Assignment:
Water is poured into a funnel at the constant rate of 1 in^3/sec and flows out at a rate of 1/2 in^3/sec. The funnel is a right circular cone with a height of 4 inches and a radius of 2 inches at the base. How fast is the water level changing when the water is 2.5 inches high? Show all work.
Provide complete and step by step solution for the question and show calculations and use formulas.