Sphere Volume Calculator

Calculate sphere volume and surface area from radius, with diameter-to-radius conversion, cubic-unit output, and radius growth checks.

Radius controls the whole sphere

Every sphere result starts from radius. Diameter is converted first, surface area squares radius, and volume cubes it, so small radius changes can produce much larger volume changes.

Before you calculate

  1. Convert diameter to radius if needed.
  2. Keep units consistent.
  3. Choose volume or surface area.
  4. Read volume in cubic units and surface area in square units.

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Sphere formulas from radius

Volume scales with r cubed, while surface area scales with r squared.

Radius from diameterr=d2
VolumeV=43πr3
Surface areaS=4πr2
Volume growthVnew=k3V

Cubic growth checks

  • Doubling radius makes volume 8 times larger.
  • Tripling radius makes volume 27 times larger.
  • Surface area grows on the slower square scale.
  • A diameter entered as radius makes results far too large.

FAQ

Can I enter diameter instead of radius?

Convert diameter first by dividing it by 2. The sphere formulas use radius, not full width.

Why are volume units cubed?

Volume measures three-dimensional space, so a radius in centimeters produces cubic centimeters, and a radius in inches produces cubic inches.