The volume [math] of a right circular cylinder of radius [math] and height [math] is [math].

(a) How is [math] related to [math] if [math] is constant and [math] varies with time? (Enter [math] as dr/dt.)
[math]

(b) How is [math] related to [math] if [math] is constant and [math] varies with time? (Enter [math] as dh/dt.)
[math]

(c) How is [math] related to [math] and [math] if both [math] and [math] vary with time?
[math]