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`V = f( "a" , "b" , h_2 , h_1 , 1 )`

Enter a value for all fields

The **Bottle Coating Amount** calculator computes the amount of coating material to cover the surface area of a bottle.

**INSTRUCTIONS:** Choose units and enter the following (see diagram):

- (
**a**) Radius at Top Bottle - (
**h**) Height of Tapered Neck_{2} - (
**b**) Base Radius - (
**h**) Height of Base_{1} - (
**t**) Coating Thickness - (
**n**) Number of Bottles

**Bottle Coating Volume (V):** The calculator returns the volume of material in liters (milliliters). However, these can be automatically converted to many other area units (e.g. square inches or even acres) via the pull-down menu.

YouTube video instructions can be seen HERE. For the **Volume of a Bottle, CLICK HERE**. For the **Mass of the Contents of a Bottle, CLICK HERE**.

**Surface Area of a Bottle**: This computes the surface area of a bottle shaped object based on the dimensions.**Mass of the Contents of a Bottle**: This computes the weight or mass of a bottle shaped object based on the dimensions and the density of its contents.**Volume of a Bottle**: This computes the volume of a bottle shaped object based on the dimensions.**Bottle Coating Amount**: This computes the volume of material needed to coat the surface area of a bottle shaped object.

The formula used in this calculator is as follows:

`A = pi(a+b) sqrt(h_2^2+(b-a)^2) + 2*pi*b*h_1 + pi*b^2`

The surface area (**A**) includes several geometric shapes: the tapered neck, the cylindrical body and the circular bottom. You can see this in the three components of the formula:

- tapered neck (
**frustum of a cone**): `A = pi(a+b)sqrt(h_2^2 + (b-a)^2)` - cylindrical body (
**cylinder**): `A = 2pi*b*h_1` - circular bottom (
**circle**): `A=pi*b^2`

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 surface area is the sum of the surface of the cone frustum, the cylinder and the circle of the bottom. Note: this leave no surface area for the opening at the top.