Liquid Volume of a Frustum of a Cone

[labsean]

Homework Statement

I have been searching online for help with this equation but have found nothing at this stage.

I am looking for an equation to satisfy the Volume of a Frustum of a cone. The liquid level is measured via a sensor located in the centre point, top circle(area) of the furstum. I am looking for a formula for, that any level of liquid within the tank, a volume will be given.

Homework Equations

the frustum is measured at: h=6m; D=5m and d=3m...note the frustum is bottom heavy(gets wider towards the base)

The Attempt at a Solution

My understanding of this is, that a Volume for any level of liquid = Volume of frustum above the liguid line - Volume of the frustum below the liquid line.

Thanks in advance, any help is greatly appriciated.


Sean

 

[rock.freak667]

If I remember what a frustum is properly then you can make one large cone and subtract a smaller cone. (if you extend the sides of the smaller diameter to a point you would get a cone)