The Volume of Cone Frustum with a Core calculator computes the volume (displacement) of cone frustum that has a cylindrical core based on the dimensions.
INSTRUCTIONS: Choose units and enter the following:
- (a) Outer Radius
- (b) Inner Radius
- (h) Height
Cored Cone Frustum Volume (V): The volume is returned in cubic centimeters. However, these can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the volume (light grey area) of a right circular cone with a frustum defined by base radius (a) and top radius (b) and height (h) in between where the cylindrical core (dark grey area) has been removed. This formula is simply the volume of the frustum of a cone minus the volume of a cylinder that would inscribe it. This shape, upside down, is often used measure the volume of a bevel taken off the top of a cylinder.
Uses
The chamfer put on top of a cylinder of an engine is a common use of this shape.