213k views
5 votes
utorial Exercise A cylindrical tank with radius 4 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)

User Jondinham
by
7.7k points

1 Answer

5 votes

Explanation:

volume of a cylinder is

ground area × height = pi×r²×h

r = 4

what we need to calculate is how high the water stands with one "serving" of 2m³.

that height is then added every minute (with the additional 2m³ during that minute).

so,

2 = pi×4²×h = pi×16×h

2/16 = 1/8 = pi×h

h = (1/8) / pi = 1/(8pi) = 0.039788736... m

that is rounded about 0.04 m or 4 cm.

therefore, the water rises by 0.04 m or 4 cm per minute

0.04m/min

User SwingMan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories