Sphere Radius Calculator
Easily calculate the radius of a sphere from its volume. Enter the volume below to find the radius.
Enter the volume of the sphere to calculate its radius.
units³
The volume of the sphere.
units
The calculated radius of the sphere.
Visual Representation
Understanding Sphere Radius Calculation
A sphere is a perfectly round geometrical object in three-dimensional space. The radius of a sphere is the distance from its center to any point on its surface. The volume of a sphere is the amount of space it occupies.
Formula
The volume (V) of a sphere is related to its radius (r) by the formula:
$$ V = \frac{4}{3} \pi r^3 $$
To calculate the radius (r) from the volume (V), we rearrange the formula:
$$ r = \sqrt[3]{\frac{3V}{4\pi}} $$
How to Use This Calculator
- Enter the volume of the sphere in the input field.
- Click the "Calculate Radius" button.
- The calculated radius will be displayed in the Radius field.
- Click "Copy Radius" to copy the calculated radius to your clipboard.
- Use "Reset" to clear the inputs and outputs.
Uses of Sphere Radius Calculation
Calculating the radius of a sphere is useful in various fields, including:
- Geometry and Mathematics education.
- Physics and Engineering for volume and size calculations.
- Computer Graphics and Game Development for object modeling.
- Astronomy for calculating sizes of celestial bodies.
Sources: Wikipedia - Sphere, MathWorld - Sphere