Bottle Coating Amount

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
• (h₂) Height of Tapered Neck
• (b) Base Radius
• (h₁)  Height of Base 
• (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.

Bottle Calculators

• 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 Math

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`

NOTES

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).  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.