Sphere Volume Examples

See how to use the formula with real-world examples.

Example 1: Find the volume (radius = 3 cm)

V = ⁴⁄₃ × 3.1416 × 3³ = 113.10 cm³
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Example 2: Find the volume (diameter = 10 cm)

r = ¹⁰⁄₂ = 5 cm
V = ⁴⁄₃ × 3.1416 × 5³ = 523.60 cm³
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Example 3: Find the radius (volume = 904.78 cm³)

r = ³√[ (3 × 904.78) / (4 × 3.1416) ] = 6.00 cm
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Related Pages:
Sphere Volume Calculator • Sphere Surface Area • Sphere Formulas

Directory of All 20 Worked Examples

4.19 units³

Volume of a Sphere With Radius 1

r = 1, V = 4/3 π (1)³ = 4/3 π ≈ 4.19.

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33.51 units³

Volume of a Sphere With Radius 2

r = 2, V = 4/3 π (8) = 32π/3 ≈ 33.51.

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113.10 units³

Volume of a Sphere With Radius 3

r = 3, V = 4/3 π (27) = 36π ≈ 113.10.

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268.08 units³

Volume of a Sphere With Radius 4

r = 4, V = 4/3 π (64) = 256π/3 ≈ 268.08.

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523.60 units³

Volume of a Sphere With Radius 5

r = 5, V = 4/3 π (125) = 500π/3 ≈ 523.60.

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4,188.79 units³

Volume of a Sphere With Radius 10

r = 10, V = 4/3 π (1000) = 4000π/3 ≈ 4,188.79.

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4.19 units³

Volume of a Sphere With Diameter 2

d = 2 → r = 1, V = 4/3 π ≈ 4.19.

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33.51 units³

Volume of a Sphere With Diameter 4

d = 4 → r = 2, V = 32π/3 ≈ 33.51.

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113.10 units³

Volume of a Sphere With Diameter 6

d = 6 → r = 3, V = 36π ≈ 113.10.

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523.60 units³

Volume of a Sphere With Diameter 10

d = 10 → r = 5, V = 500π/3 ≈ 523.60.

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Metric cm³

Sphere Volume Example in cm

Worked problem with metric centimeter units and conversion to milliliters.

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Metric m³

Sphere Volume Example in m

Large scale problem in cubic meters and conversion to 1,000 Liters.

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Imperial in³

Sphere Volume Example in inches

Industrial manufacturing problem calculating cubic inches.

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Imperial ft³

Sphere Volume Example in feet

Storage tank problem converting cubic feet into US Gallons.

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A = 4πr²

Sphere Surface Area Example

Step-by-step worked example calculating exterior surface area.

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r = ³√[(3V)/(4π)]

Sphere Radius From Volume Example

Step-by-step example solving for radius when volume is given.

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d = 2r

Sphere Diameter From Volume Example

Worked problem calculating total diameter from given cubic volume.

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Applied Math

Sphere Volume Word Problems

Real-world basketball, planets, water droplets, and spherical tanks.

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Student Exercises

Sphere Volume Practice Problems

Self-testing homework problems with revealable solution keys.

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Full Answer Key

Sphere Volume Examples With Answers

Consolidated reference sheet of 20 solved problems with answers.

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