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Free sphere calculator & sphere volume calculator. Calculate sphere volume, surface area, and properties using radius or diameter measurements with step-by-step solutions. Our calculator supports various sphere types from marbles to planets.
Last updated: February 2, 2026
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Enter the radius of the sphere
Enter the diameter of the sphere (automatically calculated from radius)
This is a medium-sized sphere, similar to sports balls or decorative objects.
Medium spheres are commonly found in sports equipment and household items.
Formula
V = (4/3)πr³
Uses the fundamental sphere volume formula for accurate calculations
Formula
SA = 4πr²
Calculates total surface area of the sphere using radius measurements
Features
Area + Volume
Provides comprehensive sphere calculations including both area and volume
Process
Step-by-Step
Shows detailed step-by-step process for sphere volume calculations
Input options
Radius or Diameter
Accepts both radius and diameter inputs with automatic conversion
Analysis
Complete Analysis
Provides complete sphere analysis including size classification and applications
For sphere with radius = 5 cm:
Volume
523.60 cm³
Surface Area
314.16 cm²
Our sphere calculator uses fundamental geometric formulas to calculate sphere volume and surface area. The calculation applies radius-based formulas to determine volume and surface area for spheres of any size, from microscopic particles to planetary bodies.
Volume = (4/3) × π × r³Surface Area = 4 × π × r²Diameter = 2 × radiusRadius = diameter ÷ 2These fundamental formulas work for all spheres regardless of size. The volume formula uses the cube of the radius, while the surface area formula uses the square of the radius.
Shows radius, diameter, volume, and surface area relationships
Sphere calculations are based on fundamental geometric principles. The volume formula derives from integration of circular cross-sections, while the surface area formula comes from the derivative of the volume formula. These formulas are exact and work for spheres of any size or material.
Need help with other geometry calculations? Check out our cube calculator and cylinder calculator.
Get Custom Calculator for Your PlatformResult: Volume = 2144.66 cm³, Surface Area = 804.25 cm²
The sphere has a volume of 2144.66 cubic centimeters and a surface area of 804.25 square centimeters.
Radius = 2 cm
V = 33.51 cm³, SA = 50.27 cm²
Radius = 15 cm
V = 14137.17 cm³, SA = 2827.43 cm²
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