# How do you find the volume of the region enclosed by the curves #y=x#, #y=-x#, and #x=1# rotated about the y axis?

##### 2 Answers

Oct 10, 2015

If rotating about the **y-axis**, the **shell method** is your best bet to a quick solution.

#### Explanation:

hope that helped

Oct 10, 2015

Look at the big picture then break it apart into extrusions.

#### Explanation:

https://www.desmos.com/calculator/zem7gewjxm

I see it like a (Cylinder-2Cone) instead of a funky shape. So if we find the volume of the cylinder we get

Now we have 2 Cones which are