how would i find the derivative of V=(pi)(r^2)(h)?

Answer 1

V = pi(r^2)h

derivative with respect to h is

dV/dh = pi(r^2)

derivative with respect to r is

dV/dr = 2hpi(r)

or maybe you want the derivative with respect to another variable such as time t then

dV/dt = pi(r^2dh/dt + 2hrdr/dt)

V' = pi(r^2h' + 2hrr')