1. The circumference of a circle is decreasing at a rate of 2. A water tank in the shape of an inverted cone has a 2 ftlsec. Find the rate of change of the area of the circle depth cf 20 meters and a top diameter of 15 meters. when the circumference is 24 ft. Water is flowing into the tank at 2 cubic meters per minute. At what rate is the depth of the water in the tank changing when the depth of the water is 8 meters? '1 =Jrr-h Volume ofa cone: 3 3. The top of a 17-foot ladder is being pushed up a 4. A hot air balloon in the shape of a perfect sphere is vertical wall at a constant rate of 0.5 feet per minute. filled with helium at a rate of 24 cubic feet per minute. When the top of the ladder is '12 feet from the ground. Find the rate. in square feet per minute, at which the what is the rate of change of the distance between the surface area is increasing when the volume is 2. 304i! bottom of the ladder and the wall? cubic feet. 4 V:m*3 Volume ofa sphere: 3 Surface Area of a sphere: A = 4]