Question

Related rate problem
General question about Volume of a cylinder

Answer 1

\[V=\pi*r^2h\]

Answer 2

How is dv/d related to dr/dt if h is constant?

Answer 3

dv/d(?)

Answer 4

sorry dv/dt

Answer 5

chain rule

Answer 6

by the way the cylinder is a right circular cylinder

Answer 7

\[\large{\cfrac{dV}{dt} = \pi*2*r*\cfrac{dr}{dt}*h}\]

Answer 8

I used the chain rule as @ganeshie8 mentioned.

See, pi and h are already constant so we don't need to differentiate them.

Answer 9

h is just a number because it is a constant so therefore you used the change rule, ok I see that one now.

Answer 10

How is dv/dt related to dh/dt if r is constant?

Answer 11

that one is chain rule as well, correct?

Answer 12

Yeah

Answer 13

How is dv/dt related to dr/dt and dh/dt if neither r nor h is constant?
ok this one I do know,
this one I use product rule

Answer 14

Yes very good

Answer 15

Thanks

Answer 16

np :)