# Thread: Finite Region Bounded by Curve

1. ## Finite Region Bounded by Curve

Having troubled graphing this its going to be a bowl shape i think, the question is like so:

The finite region bounded by curves $\displaystyle y=x^2$ and $\displaystyle y=4$ , is rotated around the line y=-2 , find the volume of the resulting solid.

Okay is this gonna look like a bowl, with a inner radius and outer radius am gessing inner radius will be 2 outer will be 2 + x^2 please correct me if am wrong thank you !!

2. Originally Posted by zangestu888
Having troubled graphing this its going to be a bowl shape i think, the question is like so:

The finite region bounded by curves $\displaystyle y=x^2$ and $\displaystyle y=4$ , is rotated around the line y=-2 , find the volume of the resulting solid.

Okay is this gonna look like a bowl, with a inner radius and outer radius am gessing inner radius will be 2 outer will be 2 + x^2 please correct me if am wrong thank you !!
no bowl.

outer radius = $\displaystyle 4 - (-2)$

inner radius = $\displaystyle x^2 - (-2)$

3. and then i would integrate wrt x and my limits of intergration from -2 to 2 correct?thanks!