Hello!!
25 - 20 = 5
5/20 = 0.25
0.25 * 100 = 25%
Good luck :)
The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

I m getting 308.11, there is an additional 0.60 that is added, maybe your source is wrong, or there is a copying error.
Answer: 6,300 m^3
Step-by-step explanation:
Put numbers into calculator
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