Sphere volume calculator

Calculate sphere volume from its radius using V = 4πr³ ÷ 3. Get a result in cubic units and see how volume differs from the sphere’s surface area.

Result

Double the radius, eight times the volume

Volume depends on three dimensions. Doubling the radius doubles each scale, multiplying the volume by eight.

How do you calculate sphere volume?

Cube the radius, multiply by π and four, then divide by three. Volume measures the space inside; surface area describes its outer covering.

V = \frac{4 \times π \times r^{3}}{3}

r = \frac{d}{2}

How to use the calculator

Enter measurements with a decimal point or comma: results update immediately. Input units apply to every length; changing them converts the measurements. Changing result units leaves the shape unchanged. The control below the drawing reveals or hides its visual explanation. Copy results includes valid measurements and the result. Reset and Try this example restore the initial values and centimetre units.

Choose radius or diameter: switching preserves the shape’s dimensions. Drawing handles always change the radius and also update the diameter when selected.

The first formula shows the relationship; the second substitutes measurements converted to the result unit. The ≈ sign indicates rounding, including in the substituted values.

A sphere with radius 3 cm

A solid sphere with radius 3 cm occupies 36π cm³, approximately 113.10 cm³. Its diameter is 6 cm; do not enter that as the radius. Divide the volume in cm³ by 1,000 to obtain about 0.11 L: this is an equivalent volume, not the capacity of a hollow container.

From measurements to the result

Input: $r = 3 cm$
Result: $≈ 113.1 {cm}^{3}$

Calculation steps

Cube the radius.
$r^{3} = 3^{3} = 27$
Complete the calculation using the tool’s formula.
$V = \frac{4 \times 27}{3} \times π = 36 \times π$

Units and interpretation

Volume uses cubic units: 1 m³ = 1,000,000 cm³ = 1,000 L. Capacity in litres is geometric; use internal measurements for real containers.

Material volume for a hollow sphere also needs the internal radius, which this calculator does not take.

Precision and numerical limits

Lengths range from 0 to 10¹² in the selected unit; triangle sides must be strictly positive. Results use two decimal places, with scientific notation for very small or large values. Calculations use browser precision: unrepresentable positive values produce an error. A rejected unit change keeps the previous data. Calculation takes place in your browser.

Maximum diameter is 10¹² in the input unit. A rejected mode change keeps the previous data.

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Sphere volume calculator

Result

Double the radius, eight times the volume

How do you calculate sphere volume?

How to use the calculator

A sphere with radius 3 cm

From measurements to the result

Calculation steps

Units and interpretation

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