Volume of Hemisphere Calculator

Calculate the volume of a hemisphere based on its radius

Input Parameters

units

Calculation Results

Calculation Formula

Volume = (2/3) × π × r³

Where:
π (pi) ≈ 3.14159
r = radius of the hemisphere

cubic units

Volume of Hemisphere Calculator Usage Guide

Learn how to use the Volume of Hemisphere Calculator and understand its working principles

How to Use This Calculator

  1. Enter the radius of the hemisphere in your desired units (meters, centimeters, etc.).
  2. Click the "Calculate" button to compute the volume.
  3. The calculator will display the volume in cubic units matching your input.
  4. Use the "Reset" button to clear all inputs and start over.

Understanding the Formula

The volume of a hemisphere is calculated using the formula:

Volume = (2/3) × π × r³

This formula represents two-thirds of a sphere's volume since a hemisphere is exactly half of a sphere.

Example

If you have a hemisphere with a radius of 5 units:

Volume = (2/3) × π × 5³ = (2/3) × π × 125 ≈ 261.799 cubic units

Applications

This calculator can be used in various fields including:

  • Engineering and architecture for designing hemispherical structures
  • Physics and mathematics for educational purposes
  • Geology for modeling volcanic craters
  • Manufacturing for calculating material requirements