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

Answer:
<h3>78.5</h3>
Step-by-step explanation:
<h2>I guessed and it was right...</h2>
Hi,
64 ÷ 8 = x
X= the number of boxes
Hope I could help~ have a good day/night :]
answer: false
Step-by-step explanation: The probability of it being true is 40% and the probability of it being false is 60% so i think it would be better to go with false