The height of a right circular cylinder is increasing at the rate of 4 cm/s and its radius is decreasing at the rate of 2 cm/s. At what rate is the lateral surface area of the cylinder changing when the height is 3 centimetres and the radius is 1 centimetre?
The lateral surface area of a cylinder of base radius r and height h is given by S = 2 $\pi$r h
A) decreasing at 16 $\pi$ /s
B) decreasing at 4 $\pi$ /s
C) increasing at 4 $\pi$ /s
D) increasing at 20 $\pi$ /s
E) increasing at 16 $\pi$ /s

Question

The height of a right circular cylinder is increasing at the rate of 4 cm/s and its radius is decreasing at the rate of 2 cm/s. At what rate is the lateral surface area of the cylinder changing when the height is 3 centimetres and the radius is 1 centimetre?
The lateral surface area of a cylinder of base radius r and height h is given by S = 2 $\pi$r h
A) decreasing at 16 $\pi$ /s 
B) decreasing at 4 $\pi$ /s 
C) increasing at 4 $\pi$ /s 
D) increasing at 20 $\pi$ /s 
E) increasing at 16 $\pi$ /s

Quizplus · Accepted Answer

The Answer of The height of a right circular cylinder is increasing at the rate of 4 cm/s and its radius is decreasing at the rate of 2 cm/s. At what rate is the lateral surface area of the cylinder changing when the height is 3 centimetres and the radius is 1 centimetre?
The lateral surface area of a cylinder of base radius r and height h is given by S = 2 $\pi$r h
A) decreasing at 16 $\pi$ /s 
B) decreasing at 4 $\pi$ /s 
C) increasing at 4 $\pi$ /s 
D) increasing at 20 $\pi$ /s 
E) increasing at 16 $\pi$ /s

The Height of a Right Circular Cylinder Is Increasing at the Rate