Sphere Volume Calculator
Archimedes showed a sphere fills exactly two-thirds of the cylinder that just contains it — he considered it his finest result. Two-thirds of πr² × 2r gives ⁴⁄₃πr³.
V = ⁴⁄₃ πr³
Volume of the sphere
523.599ft³
- Surface area
- 314.159 ft²
- V = 4/3 × π × 5³ = 523.599 ft³
- SA = 4 × π × 5² = 314.159 ft²
Volume in other units
| m³ | 14.8267 |
| liters | 14,826.7 |
| ft³ | 523.599 |
| yd³ | 19.3925 |
| in³ | 904,779 |
| US gallons | 3,916.79 |
| cm³ (mL) | 14,826,700 |
How to find the volume of a sphere
Volume: V = ⁴⁄₃ πr³. Surface area: SA = 4πr².
- Measure in one unit. The answer comes out in that unit cubed (ft³, m³).
- Substitute into the formula; the calculator shows the steps with your numbers.
- Read liters, gallons, cubic yards and more in the conversion table. 1 ft³ ≈ 7.48 US gallons ≈ 28.32 liters.
Questions people ask
Volume of a ball from its circumference?
Divide the circumference by 2π to get r, then use V = ⁴⁄₃πr³. A size-5 soccer ball (about 69 cm around) has r ≈ 11 cm and V ≈ 5,570 cm³.
Stuck on a word problem?
Paste a homework question or describe your project. The AI tutor names the formula and works it through step by step. Always check the result with the calculator above.
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