1. Solids of Revolution

Hi all,
n
I have got a revision question, I just wanted to see whether you get the same answer as I have.

Find the volume of revolution formed when the following region rotates about the x-axis between x=0, and x=3

y=5e^x

Thanks.

2. Originally Posted by Googl
Hi all,
n
I have got a revision question, I just wanted to see whether you get the same answer as I have.

Find the volume of revolution formed when the following region rotates about the x-axis between x=0, and x=3

y=5e^x

Thanks.

3. Originally Posted by TheEmptySet
Sorry, I forgot to add that.

V = π25e^6 / 2

4. Originally Posted by Googl
Sorry, I forgot to add that.

V = π25e^6 / 2
You have half of the answer. What happened to the lower limit of integration? When you plug in t=0 you should not get zero!

5. I didn't realize that I thought if the lower limit is zero it will always be a zero, but I am aware of it now. So it will be:

V = π(25e^6 / 2 - 25/2)

How would you write this in terms of π?