A pool in the shape of a rectangle is ten (10) m wide and twenty five (25) m long. The depth of the pool water x meters from the shallow part/end of the pool is 1 + (x^2)/175 meters.
Write a definite integral that yields the volume of water in the rectangular pool exactly. And then evaluate this integral.
2. The attempt at a solution
So, to find one section's volume I take the following integral: [PLAIN]http://img801.imageshack.us/img801/5991/calc1.png [Broken]
So, that gives me one of the 25 foot long section's volumes. Thus, I multiply that integral by ten to yield the following: [PLAIN]http://img80.imageshack.us/img80/1236/calc2.png [Broken]
I'm not sure if I interpreted the question the right way. Any explanations/help would be greatly appreciated. :)
Last edited by a moderator: