Question

Related rates question.

Answer 1

A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/min. Find the rate at which the water is rising in the basin when it is half-full.

Answer 2

I can't figure how how to get the height.

Answer 3

I know the formula for this hemisphere is:\[V=\pi(rh^2-\frac{ 1 }{ 3 }h^3)\]

Answer 4

where did you get the formula?

Answer 5

It was given in my question.

Answer 6

...ok, take its derivative

Answer 7

I quote" Hint: the volume of the portion of a hemisphere of radius r from the bottom h is V = pi(rh^2 - (1/3)h^3) "

Answer 8

But I have too many variables. I can't take it derivative.

Answer 9

dont think of them as variables, but as functions of time

Answer 10

I got: