Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by l V = 577211 ft min A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/ sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole? on A spherical snowball is melting in 'sUCh a way that its radius is decreasing at a rate of 0.2 cm/ min. At what rate is the volume of the snowball decreasing when the radius is 18 cm. (Note the answer is a positive number). _m min 4 3 Hint: The volume of a sphere of radius r is V = m