Capsule Calculator

Instructions:

• Enter the capsule's Diameter and Length.
• Choose the units (cm or in) for Diameter and Length.
• Click "Calculate" to see the capsule attributes.
• Click "Clear Results" to reset the form.
• Click "Copy Results" to copy the attributes to the clipboard.

Enter Diameter:

cmin

Enter Length:

cmin

Calculate Clear Results Copy Results

Detailed Calculation and Explanation

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Diameter:

Length:

Volume:

Surface Area (Hemisphere):

Total Surface Area:

Length-to-Diameter Ratio:

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Formulas Used:

• Volume: 4/3 * π * (radius^3)
• Surface Area (Hemisphere): 2 * π * (radius^2)
• Total Surface Area: 2 * Hemisphere Surface Area + 2 * π * radius * length
• Length-to-Diameter Ratio: length / diameter

Calculation History

A capsule calculator is a tool that is used to calculate the volume and surface area of a capsule. A capsule is a geometric shape that is similar to a cylinder with rounded ends. It is also known as a stadium of revolution.

Concepts

The volume of a capsule is calculated using the following formula:

Volume=π∗r2∗h

Where:

• π is a mathematical constant with the approximate value of 3.14
• r is the radius of the capsule
• h is the height of the capsule

The surface area of a capsule is calculated using the following formula:

Surface area=2π∗r∗h+2π∗r2

Where:

• π is a mathematical constant with the approximate value of 3.14
• r is the radius of the capsule
• h is the height of the capsule

Formulae

The following table shows the formulae for calculating the volume and surface area of a capsule:

Property	Formula
Volume	V = π * r^2 * h
Surface area	S = 2π * r * h + 2π * r^2

Benefits

There are several benefits to using a capsule calculator:

1. It can help you to quickly and easily calculate the volume and surface area of a capsule.
2. It can be useful for engineers, scientists, and other professionals who need to work with capsules.
3. It can also be used by students to learn about the volume and surface area of capsules.

Interesting facts

Capsules are used in a variety of applications, including:

1. Medicine: Capsules are used to deliver medication to patients.
2. Food and beverage: Capsules are used to encapsulate food and beverage products, such as spices and flavorings.
3. Cosmetics: Capsules are used to encapsulate cosmetic products, such as lipstick and blush.
4. Industrial products: Capsules are used to encapsulate industrial products, such as lubricants and adhesives.

Use cases

Capsule calculators can be used in a variety of applications, including:

1. Engineering: Engineers use capsule calculators to design and operate machines and equipment that use capsules.
2. Science: Scientists use capsule calculators to study the properties of capsules and to develop new applications for capsules.
3. Education: Students use capsule calculators to learn about the volume and surface area of capsules and to solve practice problems.

References

Here are some references that you might find useful:

1. R.C. Hibbeler (2017). Engineering Mechanics: Statics and Dynamics.
2. James M. Gere (2012). Mechanics of Materials.
3. James Stewart (2018). Calculus: Early Transcendentals.