Find curved and total surface area of a hemisphere
Result
Hemisphere Surface Area
Step-by-Step Derivation
Hemisphere Surface Area Formula
Curved = 2πr², Total = 3πr²
Hemisphere surface area can mean curved area only or total area including the flat circular base. This calculator reports both so the intended measurement is clear.
⚠Radius must be positive. Use curved area for only the dome surface and total area when the circular base is included.
How Hemisphere Surface Area Works
The curved part is half the surface area of a sphere. Adding the circular base πr² changes curved area 2πr² into total area 3πr².
Curved Area
The dome surface only.
Base Area
The flat circular face is πr².
Total Area
Curved area plus base area.
Volume
The tool also gives half-sphere volume.
💡 Example: For r=5, curved area=157.08, total area=235.619, and volume=261.799.
Applications of Hemisphere Surface Area
DomesCoatingsBowlsMaterial Estimates
Frequently Asked Questions
What is a hemisphere surface area calculator?▼
It calculates curved and total surface area of a hemisphere from radius.
What is the curved surface area formula?▼
Curved surface area is 2πr².
What is the total surface area formula?▼
Total surface area is 3πr² because it includes the circular base.
How do I use this calculator?▼
Enter the radius and click Calculate to get curved area, total area, and volume.
Where is hemisphere surface area used?▼
It is used for domes, coatings, bowls, tanks, architecture, and material estimates.
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