Homework SourseFind the volume that will result by rotating the semicircle
Find the volume that will result by rotating the semicircle sqrt (4-x^2) about the x-axis.
Solution
The volume is:
V = * int ((4-x2))2 dx (x from -2 to 2) =
(int 4-x2 dx) (-2 < x < 2) =
(4x - 1/3 x3) (-2 < x < 2) =
(4*2 - 8/3 - 4*(-2) - 8/3) =
(16 - 16/3) =
32/3
