Assignment:
Q1. Water is flowing out of a conical tank(vertex down) of a height 10 feet and radius 6 feet in such a way that the water level is falling at 1/2 foot per minute. How fast is the volume of the water in the tank decreasing when the water in the tank is five feet deep?
Q2. A 6 foot person walks away from a streetlight that is mounted on a 30 foot pole. This person walks at a rate of 5 ft/sec. At what rate is the length of the person's shadow increasing?
Provide complete and step by step solution for the question and show calculations and use formulas.