Set up the integral that would give the volume v generated by rotating the region bounded by the given curves about the y-axis.
y = x^3, y = 0, x = 5
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The front of the base is 1.25 ft and the total base is 14.05 ft.
<h3>How to find the side of a right triangle?</h3>A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The sides CD and BD can be found using similar triangle principle.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, the following proportion can be established as follows;
Hence,
cross multiply
4 × 4 = 12.8 CD
16 = 12.8CD
divide both sides by 12.8
CD = 16 / 12.8
CD = 1.25 ft
BD = 1.25 + 12.8 = 14.05 ft
Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.
learn more on right triangle here: brainly.com/question/14324872
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