- #1
jrand26
- 11
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Homework Statement
The cross-section of a channel is parabolic. It is 3 metres wide at the top and 2 metres deep. Find the depth of water, to the nearest cm, when the channel is half full.
Homework Equations
Nil.
The Attempt at a Solution
I found the function for the graph to be [tex]y=x^2-3x[/tex]. Then I figured that I could just plug (0,0) and (3,0) into the integrand, [tex]\frac{\1}{3}x^3-1.5x^2[/tex], and then divide by two to get the answer. I'm pretty sure that the problem lies with the method, not my math. I have a feeling that's not the above method does not solve the problem, but I'm not sure why that is so.
For reference, my method gets 225cm while the book has 126cm.
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