The Surface Area of a Bottle calculator computes the surface area (A) of a bottle.
INSTRUCTIONS: Choose units and enter the following (see diagram):
Bottle Surface Area (A): The calculator returns the area in square centimeters (cm2). However, this can be automatically converted to many other area units (e.g. square inches or even acres) via the pull-down menu.
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:
Geometrically, a bottle shaped object is the combination ofdefined by base radius (a) and top radius (b) and height (h2) in between and a 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.