He radius of a right circular cylinder is increasing at a rate of 7.5 inches per minute and the height is decreasing at a rate of 13.5 inches per minute. What is the rate of change of the surface area when the radius is 15.5 inches and the height is 33 inches

Rate of change of the surface area =876.85 square inches

Step-by-step explanation:

Surface area of a cylinder=2*pie*radius*height

Former radius and height are 8.0inches(15.5-7.5) and 46.5inches(33+13.5) respectively

New radius and height are 15.5inches and 33 inches respectively.(pie 22/7)

2*22*8*46.5=16368/7=2338.29

Also 2*22*15.5*33=22506/7=3215.14

Rate of change is 3215.14-2338.29=876.85inches

ok

step-by-step explanation: