» Surface Area of a Hemisphere Calculator


Hemisphere surface area calculator: calculate total or curved surface area from radius or diameter, with formulas for dome, bowl, and half-sphere geometry.

Use this surface area of a hemisphere calculator to find either the total surface area or the curved surface area of a hemisphere from the radius or diameter. It is useful for geometry questions, dome measurements, bowl-like shapes, and half-sphere design work.

The calculator makes the difference between the two formulas clear: total surface area includes the circular base, while curved surface area uses only the outside curved part. That makes it useful when you need a quick answer for coating, covering, or material estimates.


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Surface area of a hemisphere formulas

$$A= 3\pi r^{2}$$






Surface Area of a Hemisphere FAQs

How do you calculate the surface area of a hemisphere?
Use the radius r. The curved surface area is 2πr², and the total surface area including the base is 3πr². This calculator applies the correct formula automatically from radius or diameter.

What is the difference between total and curved surface area of a hemisphere?
The total surface area includes the circular base and the curved part, so it is 3πr². The curved surface area excludes the base and is only 2πr².

Can I calculate hemisphere surface area from the diameter?
Yes. If you know the diameter, divide it by 2 to get the radius, then use the selected formula. The calculator does that conversion automatically.

How do you find the radius from the surface area of a hemisphere?
Work backwards from the selected formula. For curved surface area, r = sqrt(A / 2π). For total surface area, r = sqrt(A / 3π).

When is a hemisphere surface area calculator useful?
It is useful for geometry homework, domes, tanks, bowls, covers, and any measurement where you need the outer area of a half-sphere shape.


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