# Thread: Integration to Find Volume of Wine Glass

1. ## Integration to Find Volume of Wine Glass

Hi,

Is anyone able to help me with this problem? I don't know how to go about it.

Thanks.

2. ## Re: Integration to Find Volume of Wine Glass

Hey siddivi.

Please show us your working. You need to come up with a function that defines the cross sectional length from the middle of the glass first.

Try doing that and then use the formulas for volume integration by shells or discs.

3. ## Re: Integration to Find Volume of Wine Glass

Hi chiro,
How should I work out the function that defines the cross sectional length?
Thanks,

4. ## Re: Integration to Find Volume of Wine Glass

That depends on the wine glass.

You can either measure it directly at different intervals or you can make an assumption that its parabolic or something else.

The thing though is that "curved" is pretty ambiguous.

Either way you are going to have get the information by assumption or by measurement.

5. ## Re: Integration to Find Volume of Wine Glass

What if there was more given information such as, "a curved shape defined by the function f(x)= sqrt(x)

6. ## Re: Integration to Find Volume of Wine Glass

That would be sufficient.

You then need to know the interval used for integration and then you can figure out the volume.

Have you covered the volume formulas for volume by shell and disc methods?

7. ## Re: Integration to Find Volume of Wine Glass

We have looked at basic examples of the disc method. However, I don't know how to set out the algebra?

8. ## Re: Integration to Find Volume of Wine Glass

You should start by stating the formula used.

You will then have to define the function of rotation and the axis you want to rotate around with the limits of integration.

See if you can post these bits of information in this thread and we can guide you as necessary.

9. ## Re: Integration to Find Volume of Wine Glass

Originally Posted by chiro
You should start by stating the formula used.

You will then have to define the function of rotation and the axis you want to rotate around with the limits of integration.

See if you can post these bits of information in this thread and we can guide you as necessary.
he asked this question over in another forum as well I guess. I have him past this bit.

10. ## Re: Integration to Find Volume of Wine Glass

OP you should try and have only one thread per question. Do you have the link to the other thread?

12. ## Re: Integration to Find Volume of Wine Glass

Due to continuity I can't really merge the two threads. The other one (romsek's link just above this one) has the most up to date posts.