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`M = "mD" * [1/3 * pi * "h2" ( "a" ^2+ "a" * "b" + "b" ^2) + pi * "b" ^2 * "h1" ]`

Enter a value for all fields

The **Mass of a Bottle** calculator computes the mass based on the dimensions of the bottle and the mean density of the material.

**INSTRUCTIONS:** Choose the length units you wish (e.g. centimeters or inches) and enter the following:

- (
**a**) - neck radius at the top of the bottle - (
**h**) - the height of the tapered neck section_{2} - (
**b**) - the base section's radius - (
**h**) - the height of the bottle's base that is a constant diameter along it's length from the bottom base to the beginning of the taper._{1} - (
**mD**) - mean density of material.

**Mass of the Bottle (**M**): The calculator returns the mass in grams. However, this can be automatically converted to compatible units via the pull-down menu.**

The formula for the mass of a bottle shaped object is the volume of the bottle times the density of the material. Assuming normal gravity, this also provides the weight. 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 (h_{2}) in between and a cylinder of radius (b) and height (h_{1}). The volume is calculated and then multiplied by a mean density (mD) to provide the mass of the shape. See diagram. KEY WORDS: container