- #1

hvidales

- 29

- 0

## Homework Statement

Find the volume: y=x, y=0, x=2, x=4; about x=1

## Homework Equations

Washer method V= ∏∫ (R)^(2)-(r)^(2) dy

## The Attempt at a Solution

0 to 4 is my a to b**

∏∫(from 0 to 4) of (1-4)^(2)-(1-y)^(2) dy

∏∫(from 0 to 4) of 9-(1-2y+y^(2)) dy

∏∫(from 0 to 4) of 8 + 2y - y^(2) dy

∏[8y+y^(2)-y^(3)/3](from 0 to 4)

∏[32+16-64/3]=80∏/3

That is my answer but I want to make sure that I got it correct. Thanks in advance!