Calculate the volume and surface area of a sphere from its radius.
Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
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A sphere with radius 5 has volume about 523.60 cubic units.
Calculate the volume and surface area of a sphere from its radius. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
For a sphere of radius 3 cm, volume is (4/3)π × 3³ = 36π ≈ 113.10 cm³, and surface area is 4π × 3² = 36π ≈ 113.10 cm². Those numerical values happen to match at radius 3 but represent different units.
Scaling insight: doubling the radius multiplies surface area by four and volume by eight. Enter radius, not diameter, and keep all measurements in one length unit.
Calculate the volume and surface area of a sphere from its radius.
Volume = 4/3 πr³. Surface area = 4πr².
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