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`V = 1/3 * pi * "h2" ( "a" ^2+ "a" * "b" + "b" ^2) + pi * "b" ^2 * "h1" `

Enter a value for all fields

The **Volume of a Bottle** calculator computes the volume of a bottle shaped object (see diagram).

**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}

The Volume of the Bottle (**V**) is computed in liters (L). However, this volume can be automatically converted to many other volume units (e.g. mL, gallons or cubic inches) 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 (h_{2}) in between and a cylinder of radius (b) and height (h_{1}). 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`

where:

- V = volume of the bottle
- h1 = height of cone
- h2 = height of cylinder
- b = base radius