Geometry Tool
Hemisphere Calculator
Calculate the volume and surface area of a half-sphere.
Volume
261.799 units³
Total Surface Area
235.619 units²
Curved Surface Area (CSA)157.080 units²
Base Area78.540 units²
Σ The Formula
V = 2/3 πr³
Real World Examples
Standard Dome
A dome with 10m radius has a volume of ~2094 cubic meters.
Salad Bowl
Calculate exactly how much solid a half-sphere bowl can hold.
# About This Calculator
A Hemisphere is exactly half of a sphere. In geometry, we often distinguish between the "curved surface area" (just the dome) and the "total surface area" (the dome plus its flat circular base).
Key Formulas:
- Volume: 2/3 × π × r³
- Curved Surface Area: 2 × π × r²
- Total Surface Area: 3 × π × r² (dome + base)
How To Use
- Enter the **Radius (r)** of the hemisphere.
- The **Volume** represents the internal space.
- The **Curved Area** is just the 'skin' of the dome.
- The **Total Area** includes the flat circular base.
Frequently Asked Questions
Is Hemisphere Calculator free to use?+
Yes, Hemisphere Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Hemisphere Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Hemisphere Calculator are accurate for academic and professional use.
Can I use Hemisphere Calculator on my phone?+
Yes! Hemisphere Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
How do I report a bug?+
If you notice any issues with Hemisphere Calculator or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!
Can I request a new feature?+
Absolutely. We are constantly expanding our toolset. Feel free to reach out with your requests, and we might build it next!
About
A Hemisphere is exactly half of a sphere. In geometry, we often distinguish between the "curved surface area" (just the dome) and the "total surface area" (the dome plus its flat circular base).
Key Formulas:
- Volume: 2/3 × π × r³
- Curved Surface Area: 2 × π × r²
- Total Surface Area: 3 × π × r² (dome + base)