I would like to make sure my answer is correct:
Question: the base of a solid is the triangular region with the vertices (0,0), (2,0), and (0,4). Cross sections perpendicular to the x-axis are semicircles. Find the volume of this solid.
My Work: ∫[0,2] (pi/2)(r^2)dx
r = (-2x+4)/2 = (-x+2)
r^2 = x^2-4x+4
(pi/2) x^3/3 - 4x^2/2 +4x with limits regarding -1 and 1.
My Answer: 4pi/3
I would greatly appreciate if you could let me know if my answer is correct just so I know I am practicing this properly! Thank You!!
2 answers
UPDATE** I meant with limits regarding 0 and 2!!
Looks good to me.
1 answer