Calculate sphere volume and surface area
523.60
cu ft
314.16
sq ft
10.00
ft
Volume
523.60 cu ft
Surface Area
314.16 sq ft
Volume = (4/3) × π × r³The volume of a sphere is four-thirds times pi times the radius cubed.
Where:
r= Radius of the sphereπ= Pi, approximately 3.14159Surface Area = 4 × π × r²The total surface area of a sphere is four times pi times the radius squared.
Where:
r= Radius of the sphereπ= Pi, approximately 3.14159Inputs
Result
Volume = (4/3) × π × 5³ = (4/3) × π × 125 = 523.60. Surface Area = 4 × π × 5² = 4 × π × 25 = 314.16. Diameter = 2 × 5 = 10.00.
Inputs
Result
Volume = (4/3) × π × 3³ = (4/3) × π × 27 = 113.10. Surface Area = 4 × π × 3² = 4 × π × 9 = 113.10. Diameter = 2 × 3 = 6.00.
Volume of a sphere = (4/3) × π × r³, where r is the radius. For example, a sphere with radius 5 has volume = (4/3) × π × 5³ = 523.60 cubic units.
Surface area of a sphere = 4 × π × r², where r is the radius. For a sphere with radius 5, surface area = 4 × π × 5² = 314.16 square units.
Diameter = 2 × radius. The diameter is twice the radius. If radius is 5, diameter is 10. The radius is half the diameter.
Yes, first find the radius: radius = diameter / 2, then use the volume formula: V = (4/3) × π × r³. Alternatively, V = (4/3) × π × (d/2)³ = (π × d³) / 6.
A sphere is a perfectly round 3D shape where all points on the surface are equidistant from the center. All calculations depend on the radius.
The volume formula is (4/3)πr³, and the surface area is 4πr². These are fundamental formulas in geometry.
The diameter is always twice the radius, making it easy to convert between the two measurements.
Last Updated: Feb 12, 2026
This calculator is provided for informational and educational purposes only. Results are estimates and should not be considered professional financial, medical, legal, or other advice. Always consult a qualified professional before making important decisions. UseCalcPro is not responsible for any actions taken based on calculator results.