The Volume of a Bottle calculator computes the volume of a bottle shaped object (see diagram).
INSTRUCTIONS: Choose units and enter the following:
Bottle Volume (V): The volume is returned in liters (L). However, this volume can be automatically converted to compatible via the pull-down menu.
Geometrically, a bottle shaped object is the combination of right circular cone with a frustum defined by base radius (a) and top radius (b) and height (h2) in between and a cylinder of radius (b) and height (h1). See diagram.
The formula for the volume of a bottle is:
`V = (pi/3)*h2*(a^2+a*b+b^2) + pi * b^2 * h1`
Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.