Sphere Calculator
Enter a radius below to instantly get the volume and surface area of a sphere.
Volume
523.5988
Surface Area
314.1593
Sphere Formulas
Volume = (4/3)πr³. Surface area = 4πr². Both formulas depend only on the radius, r.
Worked example
A sphere with radius 6.
Volume = (4/3) × π × 6³ = (4/3) × π × 216 ≈ 904.78
Surface area = 4 × π × 6² = 4 × π × 36 ≈ 452.39
Frequently Asked Questions
What is the formula for the volume of a sphere?
Volume = (4/3) × π × r³, where r is the radius. Doubling the radius multiplies the volume by 8, since volume scales with the cube of the radius.
What is the formula for the surface area of a sphere?
Surface area = 4 × π × r², where r is the radius.
How is a sphere different from a circle?
A circle is a flat, two-dimensional shape. A sphere is the three-dimensional version — every point on its surface is the same distance from its center, in every direction.
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