Concept explainers
Cubic yards of dirt required to fill the area after the swamp is drained.
Answer to Problem 56RE
1500 cubic yards of dirt is required to fill the area after the swamp is drained.
Explanation of Solution
Given information:
Average depth,
Since the pond has been divided into six sections, which is even, approximate the surface area of the pond using Simpson’s rule.
We know that
Horizontal spacing is 20 ft.
Then let
Using Simpson’s rule:
Now,
To find the volume in cubic feet, multiply the volume obtained with average depth:
We know that
For 1 cubic yard:
Now,
To get the volume in cubic yards, divide the volume in cubic feet by
Thus,
1500 cubic yards of dirt is required to fill the area after the swamp is drained.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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