- 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.
Concepts
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.
Volume of a capsule
The volume of a capsule is calculated using the following formula:
Volume = π * r^2 * 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
Surface area of a capsule
The surface area of a capsule is calculated using the following formula:
Surface area = 2π * r * h + 2π * r^2
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:
- It can help you to quickly and easily calculate the volume and surface area of a capsule.
- It can be useful for engineers, scientists, and other professionals who need to work with capsules.
- 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:
- Medicine: Capsules are used to deliver medication to patients.
- Food and beverage: Capsules are used to encapsulate food and beverage products, such as spices and flavorings.
- Cosmetics: Capsules are used to encapsulate cosmetic products, such as lipstick and blush.
- Industrial products: Capsules are used to encapsulate industrial products, such as lubricants and adhesives.
References
- Engineering Mechanics: Statics and Dynamics by R. C. Hibbeler (2017)
- Mechanics of Materials by James M. Gere (2012)
- Calculus: Early Transcendentals by James Stewart (2018)
Examples
The following table shows some examples of capsule calculations:
| Radius (r) | Height (h) | Volume | Surface area |
|---|---|---|---|
| 1 cm | 2 cm | 3.14 cm^3 | 10.18 cm^2 |
| 2 cm | 3 cm | 12.56 cm^3 | 22.68 cm^2 |
| 3 cm | 4 cm | 28.27 cm^3 | 35.18 cm^2 |
Applications
Capsule calculators can be used in a variety of applications, including:
- Engineering: Engineers use capsule calculators to design and operate machines and equipment that use capsules.
- Science: Scientists use capsule calculators to study the properties of capsules and to develop new applications for capsules.
- Education: Students use capsule calculators to learn about the volume and surface area of capsules and to solve practice problems.
Conclusion
Capsule calculators are a valuable tool for anyone who needs to work with capsules. They can help you to quickly and easily calculate the volume and surface area of capsules.
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