Find the volume of the solid formed

Question

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)

y = −|x − 3| + 3, y = 0;  about the y-axis

Answer 1

If the area of the rotated 2 dimension object is known

(here area is 9, isosceles triangle base 6, height 3)

and the distance from axis of rotation to the centroid is known

(here centroid is located at (3,1) so distance is 1)

the pappus theorem is that Volume created is V=2πd*A

V=18π