- #1
Shinaolord
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Homework Statement
A dam has a rectangular base 1500 meters long and 140 meters wide. Its cross-section is shown in the figure. (The Grand Coulee Dam in Washington state is roughly this size.) By slicing horizontally, set up and evaluate a definite integral giving the volume of material used to build this dam.
The height at the top is 10m, bottom is 140m, and the height is 130m.
Homework Equations
I tried to use similar triangles but I really have no idea how to do this.
Any suggestions?
The Attempt at a Solution
130-h / 130 = w/140
w= 130-(h/130)
but integrating this and multiplying by the base (1500) gives the wrong answer.