What formulas does this calculator use?

Volume = (2/3) × π × r³; Curved surface area = 2 × π × r²; Total surface area (including the flat circular base) = 3 × π × r².

Where are hemisphere shapes used practically?

Domes, bowls, and some architectural roof designs are common real-world hemisphere applications.

Hemisphere Calculator - CalculatorLabs.net

Q: What is a hemisphere?

It's exactly half of a sphere, cut through its center — like a dome or a bowl shape.

Hemisphere Calculator

A hemisphere is exactly half of a sphere, cut straight through its center — like a dome or a bowl.

Radius (r)

Instant Result

Volume -

Curved Surface Area -

Total Surface Area -

What Is a Hemisphere Calculator?

A hemisphere is exactly half of a sphere, cut straight through its center — like a dome or a bowl. This calculator gives you the volume, curved (dome) surface area, and total surface area (including the flat circular base) from the radius.

How to Use This Hemisphere Calculator

Find the radius of the hemisphere (the flat circular base's radius).
Type the radius into the field above.
Press Calculate to see the volume, curved surface area, and total surface area.
Keep the unit consistent — results scale to cubic and square units of your input.

Formula

Volume = (2/3) × π × r³
Curved Surface Area = 2 × π × r²
Total Surface Area = 3 × π × r²

Worked Example

For a dome-shaped roof with a radius of 4 m: Volume = (2/3) × π × 4³ ≈ 134.04 m³. Curved Surface Area = 2 × π × 4² ≈ 100.53 m². Total Surface Area (dome + flat base) = 3 × π × 4² ≈ 150.80 m².