Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4

Question

Scrat [10]

3 years ago

15

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4

−(y−1)^2; about the x-axis.

Mathematics

1 answer:

Ad libitum [116K] · Answer 1 · 2022-06-21T18:57:09+03:00

Ad libitum [116K]3 years ago

4 0

The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86