# Thread: volume of the solid formed by rotating the region

1. ## volume of the solid formed by rotating the region

This question asks to find the volume of the solid formed by rotating the region enclosed by:
y=e^x +5, y=0, x=0, x=0.1
Would I use the cylindrical shells method for this one?
Thank You,
Keith

2. Originally Posted by keith
This question asks to find the volume of the solid formed by rotating the region enclosed by:
y=e^x +5, y=0, x=0, x=0.1
Would I use the cylindrical shells method for this one?
Thank You,
Keith
Mostly likely you can. But you forgot to mention which axis the rotation is about.

-Dan

3. ## Volume of the solid formed by rotating the region

The region is rotated about the x-axis. Sorry for the error.
Thank You,
Keith

4. Originally Posted by keith
This question asks to find the volume of the solid formed by rotating the region enclosed by:
y=e^x +5, y=0, x=0, x=0.1
Would I use the cylindrical shells method for this one?
Thank You,
Keith
Originally Posted by keith
The region is rotated about the x-axis. Sorry for the error.
Thank You,
Keith
I would do it pretty much like the other answer I gave you. I'd do discs centered on the x-axis. The radius of the discs would be equal to y, so:
$\displaystyle V = \int_0^{0.1} \pi (e^x + 5)^2~dx$

-Dan