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Closed Hemisphere Total Surface Area Calculator

Find hemisphere curved surface plus flat base. Example: Radius: 2 m gives 37.6991118431 m². Total surface area including the flat circular base. Includes flat circular base; curved area alone is 2πr². Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

YOUR INPUTS Live calculation

Total surface area including the flat circular base. Includes flat circular base; curved area alone is 2πr². Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Half sphere surface 2πr² plus disk πr².

Accepted inputs: Radius: 0.001 to 1,000 m.

Example values. Enter your own inputs.

hemisphere curved surface plus flat base

37.69911184m²

How the calculation works

A_closed = 3πr²

Worked example

With radius 2 m, hemisphere curved surface plus flat base is 37.69911184 m².

Assumptions and limits

Total surface area including the flat circular base. Includes flat circular base; curved area alone is 2πr². Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Half sphere surface 2πr² plus disk πr².

hemisphere curved surface plus flat base37.69911184 m²
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