I am looking for a way to determine the function prescription of an arbitrary function, the function that describes the edge of a Duvel glass. In other words: I want to determine the content of a solid of revolution (Duvel glass) by means of integrals. I don’t know how to get the function rule that describes the shape of the glass.

Asker: Thomas, 17 years old

## Answer

It is not Duvel glass, but a function that can be used to describe the wall of glass by revolving around the x-axis is the following:

f(x)= âˆ’0.00393x^4+0.0843x^3âˆ’0.693x^2+2.198x+1.246

You can then find the volume of the glass by integrating from x=0 to, for example, x=8.

## Answered by

#### Prof. Dr. Ir. Jan Baetens

Mathematical Modeling

university of Ghent

http://www.ugent.be

.