An upright cylindrical tank with radius 7 m is being filled with water at a rate of 2 cubic meters/min. How fast is the height of the water increasing? (Round the answer to four decimal places.)

Question

anonymous · Answer

The volume of the water is given by $V=bh$ where $h$ is the depth of the water and $b$ is the base area.  Taking the time derivatives of both sides gives us the related rates,  Note that $b$ is constant in this case.$$\frac{dV}{dt}=b\frac{dh}{dt}$$Now use this formula to evaluate.

anonymous · Answer

got it !! when I calculate the answer, I'll post it ! Thanks :D

anonymous · Answer

No problem!  Glad to help.

anonymous · Answer

0.0130?