Math

Surface Area of a Hemisphere Calculator

Find the total surface area of a solid hemisphere.

Calculated Output

Total surface area 339.29

Curved surface only 226.19

Formula: total = 3πr² (curved 2πr² + base πr²)

Step-by-Step Breakdown

1. Values used:

2. Radius = 6

4. Total surface area = 339.29

5. Curved surface only = 226.19

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The math behind it

Curved area is 2πr² (half a sphere's 4πr²) and the flat base adds πr², giving a total of 3πr².

Radius 6 → total = 3π(36) ≈ 339.29.

What if I only want the dome?

Use the curved surface only: 2πr².