Asked by Jillian

The base of a solid is the region enclosed by the graph of x^2 + 4y^2 = 4 and cross-sections perpendicular to the x-axis are squares. Find the volume of this solid.
a. 8/3
b. 8 pi/3
c. 16/3
d. 32/3
e. 32 pi/3

Thanks in advance! :)

Answers

Answered by Damon
base is ellipse
integral of (2y)^2 dx from x = -2 to x = +2
whic is twice the integral from 0 to +2 of 4 y^2 dx
which is
twice integral from 0 to +2 of (4-x^2) dx
2 * [ 4 x -x^3/3] at x = 2
2 * [ 8 - 8/3)
2 * [16/3] = 32/3
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions