The formula `2pi int_a^b yf(y)dy` gives the volume of solid obtained by rotating area under the graph of `f` between `y=a` and `y=b` around x-axis.

Therefore, the solid in question is obtained by rotating area under the graph of function `f(y)=1/(1+y^2)` between `y=0` and `y=2` around x-axis.

Images below show graph of function (blue) and graph of the solid (yellow/orange).

**Images:**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now