The volume of a cylinder of height 10 inches and radius 1' inches is given by the formula V = 101rr2. dV Which is the correct expression for E? O%=20wr%% d d (Dd17:20\"??? dV 20 OE: d? d d o 2% dV OE=0 Suppose that the radius is expanding at a rate of 0.8 inches per second. How fast is the volume changing when the radius is 2.9 inches? Use at least 5 decimal places in your answer. answer: cubic inches per second dr dA Let A be the area of a circle with radius r. If = 2, find when r = 5. dt dtThe height of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the triangle is increasing at a rate of 3.5 square centimeters per minute. At what rate is the base of the triangle changing when the height is 10 centimeters and the area is 81 square centimeters? 1 Remember that you're using the formula for the area of a triangle: Area = 5b - h (You'll need to know this formula in the normal homework assignments, quizzes and tests.) Gravel is being dumped from a conveyor belt at a rate of 40 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 13 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 V = Er2h