# Capsule Calculator

A capsule is a three dimensional geometric shape consisting of a cylinder with hemispherical ends, it is also known as a spherocylinder and also a stadium of revolution. A Stadium is a two dimensional geometric shape consisting of a rectangle with semicircles at each end. Looking for a Stadium Calculator?

Capsule Shape
DimensionValue

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use • Diameter: Changing the diameter affects the radius and overall length
• a(Straight Sides): Changing the length of the sides affects the overall length
• Overall Length: Changing the overall length affects the length of the sides
• Surface Area: The surface area of the capsule in square units
• Volume: The volume of the capsule in cubic units
• You can refine the calculations by controlling the number of decimal places that the calculator calculates to. The default is 2 decimal places.

A capsule is a 3-dimensional solid object that is formed by revolving a segment of a line around an axis. It has two flat circular ends and a curved body that connects them. If you know the dimensions of the capsule, you can easily calculate its volume and surface area using our capsule calculator.

## How to use the Capsule Calculator

To use our capsule calculator, follow these simple steps:

1. Enter the length of the capsule, denoted by l.
2. Enter the radius of the circular ends of the capsule, denoted by r.

Once you have entered the required dimensions, our calculator will automatically compute the volume and surface area of the capsule.

## Capsule Volume Formula

The volume of a capsule is given by the formula:

V = πr2(4/3)l + 2/3πr3

where:

• V is the volume of the capsule
• r is the radius of the circular ends of the capsule
• l is the length of the capsule
• π is a mathematical constant approximately equal to 3.14159

## Capsule Surface Area Formula

The surface area of a capsule is given by the formula:

A = 2πr(2r + l)

where:

• A is the surface area of the capsule
• r is the radius of the circular ends of the capsule
• l is the length of the capsule
• π is a mathematical constant approximately equal to 3.14159

Using these formulas, you can easily calculate the volume and surface area of a capsule given its dimensions.

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