QUESTION 1 The radius of a cylinder is increasing at a rate of 1.5 meter per hour, and the height of the clinder is decreasing at a rate of 3 meters per hour. At a certain instant, the base radius is 6 meters and the height is 9 meters. What is the rate of change of the volume of the cylinder at the instant? Please enter your answer in decimal format with three significant digits after the decimal point. QUESTION 2 A street light is mounted at the top of a 20ft tall pole. A man 6ft tall walks away from the pole with a speed of 5.5ft/sec along a straight path. How fast is the tip of his shadow moving when he is 21ft from the pole? Please enter your answer in decimal format with three significant digits after the decimal point. QUESTION 3 A 40ft ladder is placed against a large building. The base of the ladder slips at the rate of 4ft per minute. Find the rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 20ft from the base of the building. Please enter your answer in decimal format with three significant digits after the decimal point