# Math Help - Finding volume of a solid

1. ## Finding volume of a solid

Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2.

2. Originally Posted by dandaman
Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2.
did you graph the region? i would use the shell method here.

$V = 2 \pi \int \text{radius} \cdot \text{height}$

here we have $V = \int_0^1 (2 - x)(x^3 + x)~dx$

any questions?

3. no, thanks!!