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Reference table

Hemisphere Table: Volume by Radius

Reference table of volume for Hemisphere across a range of radius values — exact, engine-computed figures you can read off at a glance.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 1 min read

This hemisphere reference table shows the volume for a range of radius values. Every figure is computed with the same engine that powers our Hemisphere Calculator, so the numbers are exact.

RadiusVolumeTotal surface area
1.5 units7.068621.2058
3 units56.548784.8230
4.5 units190.8518190.8518
6 units452.3893339.2920
9 units1,526.8140763.4070
12 units3,619.11471,357.1680
18 units12,214.51223,053.6281
30 units56,548.66788,482.3002
42 units155,169.544316,625.3083
60 units452,389.342133,929.2007

How to use this table

Find the row closest to your radius and read across to the volume. For a value between two rows, the real figure sits between them — or enter your exact numbers in the Hemisphere Calculator for a precise answer.

Need a value that is not in the table? — the Hemisphere Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

Each cell is computed with the standard formula using exact arithmetic — the same calculation behind our Hemisphere Calculator — so every figure is accurate for the stated assumptions.

Yes. The table covers common radius values; for any exact figure, enter your own numbers in the Hemisphere Calculator.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.