1.

The radius r of a sphere is increasing at a rate of 5 centimeters per minute. (a) Find the rate of change of the volume when r = 9 centimeters. cm / min (b) Find the rate of change of the volume when r = 38 centimeters. cm / minA trough is 12 meters long and 3 meters across the top (see figure). Its ends are isosceles triangles with altitudes of 3 meters. 2 m 12 m- 3 m 3 m (a) If water is being pumped into the trough at 2 cubic meters per minute, how fast is the water level rising when h is 1.5 meters deep? m/min (b) If the water is rising at a rate of 2.5 centimeters per minute when h = 2.0, determine the rate at which water is being pumped into the trough. m3/ min