## anonymous 5 years ago Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 5 - (5/2)x y = 0 x = 0 , x = 1 find the volume

1. anonymous

$V = \pi \int\limits_{0}^{1} (5-\frac{5}{2}x)^{2} dx$ $=\pi \int\limits_{0}^{1}\frac{25}{4}x ^{2}-25x+25 dx$ $=\pi[\frac{25}{12}x ^{3} -\frac{25}{2}x ^{2}+25x] \left\{ 0 \to 1 \right\}$ $=\frac{175}{12}\pi$

2. anonymous

omg thaats what i got, i just forgot to add the pi sign lol. thank you so much :)

3. anonymous