Sphere Calculator
Calculate sphere volume, surface area, diameter, and circumference from radius.
Volume
523.5988
Surface Area
314.1593
Properties
| Diameter | 10.0000 |
| Circumference | 31.4159 |
| V = 4/3 πr³ | 523.5988 |
| SA = 4πr² | 314.1593 |
Use the Sphere Calculator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.
Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.
How It Works
Our Sphere Calculator helps you quickly determine the volume, surface area, diameter, and circumference of a sphere given its radius. This is crucial for applications ranging from engineering and architecture to understanding astronomical bodies. For instance, knowing the volume of a sphere is vital in 2026 for designing new spherical storage tanks for hydrogen fuel, a rapidly expanding energy sector, as global hydrogen production is projected to exceed 100 million metric tons by then.
The calculations rely on fundamental geometric formulas. For a sphere with radius 'r', the diameter (d) is 2r, and the circumference (C) of its great circle is 2πr. The surface area (A) is calculated as 4πr², and the volume (V) is (4/3)πr³. We use a highly precise value for Pi (π ≈ 3.1415926535) to ensure accuracy in our computations.
When using this calculator, ensure you are inputting the radius correctly; a common mistake is conflating diameter with radius. Remember that units are consistent across all outputs – if you input a radius in meters, your volume will be in cubic meters and surface area in square meters. Also, be mindful of significant figures required for your specific application, as rounding too early can lead to inaccuracies.
Example: Calculating for a Spherical Hydrogen Storage Tank
- 1 Input Radius: Let's say we're designing a spherical hydrogen storage tank with a radius of 5 meters.
- 2 Calculations: Using the provided radius (r=5m), the calculator determines: Diameter = 2 * 5m = 10m. Circumference = 2 * π * 5m ≈ 31.4159m. Surface Area = 4 * π * (5m)² ≈ 314.159m². Volume = (4/3) * π * (5m)³ ≈ 523.598m³.
- 3 Results: For a spherical tank with a 5-meter radius, the diameter is 10 meters, the great circle circumference is approximately 31.42 meters, the surface area is about 314.16 square meters, and the volume is roughly 523.60 cubic meters.
- 4 Context: This volume (523.60 m³) is critical for estimating the storage capacity of hydrogen. Given that one cubic meter of gaseous hydrogen at standard conditions weighs approximately 0.08988 kg, this tank could store roughly 47.06 kg of hydrogen, a significant amount for industrial applications in 2026's growing hydrogen economy.
Source: Khan Academy · Last updated: April 2026
Frequently Asked Questions
How do you calculate the volume of a sphere?
How do you find the surface area of a sphere?
How do you find the radius of a sphere from volume?
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