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Hemisphere Geometry — result sheet
Calculate a hemisphere's volume, curved surface area, and total surface area from its radius.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V = 2/3 pi r^3; curved area = 2 pi r^2; total area including the circular base = 3 pi r^2.
A hemisphere is half of a sphere, so its volume is half the sphere volume. Its curved surface is half the sphere surface, while total surface area adds the flat circular base.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radius — units; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Radius | 3 |
Volume 56.548668; curved area 56.548668; total area 84.823002 square units.
Assumptions and limits
- The radius is positive and all dimensions use one consistent length unit.
- The solid is an ideal hemisphere with one flat circular base; wall thickness and openings are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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