The volume V of a right circular cylinder is given by V=pi r^2 h where r is the radius and h is the height. If h is held fixed at h = 5 inches, find the rate of change of V with respect to r when r = 4 inches. The rate is in squared inches.

Question

The volume V of a right circular cylinder is given by V=pi r^2 h  where r is the radius and h is the height. If h is held fixed at h = 5 inches, find the rate of change of V with respect to r when r = 4 inches. The rate is in squared inches.

amistre64 · Answer

rates of change...

if h is held constant then its value can be considered as a constant.

V = pir^2 5

5pi | V' = 2r

V' = 10pi r  when r = 4 the volume is changeing at 40pi....

anonymous · Answer

Thanks!