The radius of a cylinder is increasing at the rate of 3 m/s and its height is decreasing at the rate of 4 m/s. The rate of change of volume when the radius is 4 m and height is 6 m, is
A. 80π cu m/s
B. 144π cu m/s
C. 80 cu m/s
D. 64 cu m/s
Answer:A
The radius of a cylinder is increasing at the rate of 3 m/s and its height is decreasing at the rate of 4 m/s. The rate of change of volume when the radius is 4 m and height is 6 m, is
A. 80π cu m/s B. 144π cu m/s C. 80 cu m/s D. 64 cu m/s