Hemisphere Calculator
Hemisphere Volume and Surface Area Calculator
Calculate the volume and surface area of a hemisphere with our easy-to-use calculator. Learn about hemisphere formulas, real-world applications, and explore interactive examples.
A hemisphere is exactly half of a sphere, created by cutting a sphere through its center plane. Our hemisphere calculator helps you determine both the volume and surface area using just the radius. Perfect for architectural domes, container designs, and educational purposes.
Formula
Volume = (2/3)πr³
Surface Area = 2πr² + πr²
Where:
- r:radius of the hemisphere (in your chosen unit of length)
- π:pi, approximately equal to 3.14159
How to Calculate Hemisphere Volume
To calculate the volume of a hemisphere, take half the volume of a sphere with the same radius...
Understanding Surface Area
The total surface area includes both the curved surface (2πr²) and the circular base (πr²)...
Real-World Applications
Hemispheres are found in architecture (domes), optics (lens designs), and many everyday objects...
Frequently Asked Questions
How does hemisphere volume compare to sphere volume?
A hemisphere's volume is exactly half the volume of a sphere with the same radius, while its surface area is not exactly half due to the additional circular base.
What is the difference between curved and total surface area?
The curved surface area (2πr²) is just the dome part, while the total surface area includes both the curved surface and the circular base (3πr² total).