Question

How do you find `(dV)/dt` if `V=1/3pir^2h`?

Answer 1

`(dV)/dt=1/3pi(2r(dr)/dth+(dh)/dtr^2)`

Explanation:

Use Implicit Differentiation where each where each factor is differentiated with respect to time, t.

`(dV)/dt=1/3pi(2r(dr)/dth+(dh)/dtr^2)`