A large snowball is melting so that its radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment when the radius is 5 inches? [Hint: The volume of a sphere of radius r is  V =  4 3?r3.]  (Round your answer to the nearest integer.) _______ in3 per hr

Liquid if flowing into a conical tank (with vertext down) that has a radius two times its height. If the height of the liquid increases at a rate of 5 feet per minute when the liquid is 9 feet high, find the rate at which the volume of liquid in the tank is increasing at this instant. Give exact answer.  V= pi/3 r2h

Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] y 10H 8 6 4 X square units 5 y = 1 1.25 1.5 1.75 2 X Ⓡ

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 2 feet high? (Hint: The formula for the volume of a cone is V = {mr?h.)