Question

An upright cylinderical tank with radius 7 m is being filled with water at a rate of 2 m^3/min. How fast is the height of the water increasing? (Round the answer to four decimal places. )

Answer 1

0.0130 m per min. to 4 decimal places.

Explanation:

If 2 m^3 of water is added we have volume = 2 = π 7^2 h where h is the height:

h = 2 / (π 7^2) = 0.01299 m.