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Sphere Volume Calculator

Calculate the exact volume of a perfect sphere by entering its radius or diameter.

V = \frac{4}{3} \pi r^3
r = ?
Diagram updates instantly as you type.

What is a Sphere?

A perfectly round 3D object.

A sphere is a geometrical object in three-dimensional space that is the surface of a ball. Like a circle in two dimensions, a sphere is mathematically defined as the set of points that are all at the same distance (radius) from a given point.

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How to Find Sphere Volume

You only need one measurement to find the volume of a sphere.

1
Determine the radius (the distance from the center to the edge).
2
Cube the radius (multiply it by itself twice).
3
Multiply by pi (π) and then by 4/3.

Sphere Volume Formula

The standard equation for a sphere.

V = \frac{4}{3} π r^3
V Volume
r Radius

Where 'V' is the volume, 'π' is pi (approximately 3.14159), and 'r' is the radius.

Frequently Asked Questions

What if I only know the diameter?

Simply divide the diameter by 2 to find the radius, then use the standard volume formula.

What is Pi (π)?

Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

Is the Earth a perfect sphere?

No, the Earth is an oblate spheroid, meaning it bulges slightly at the equator and is flattened at the poles.

How do I find the volume if I only know the circumference?

First, find the radius by dividing the circumference by 2π, then plug that radius into the volume formula.