Question

find how fast the (a) volume, (b) surface area of a right circular cylinder of height 5 ft when the height increases.

Answer 1

hard to say. If the radius is r, then
v = πr^2 h
dv/dt = 2πrh dr/dt + πr^2 dh/dt

a = 2πr^2 + 2πrh
da/dt = 4πr dr/dt + 2πh dr/dt + 2πr dh/dt

So maybe you can fix your posting, then answer the questions