Sphere Volume Calculator
Enter the radius of the sphere to get its volume and surface area.
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Formula
- Volume:
V = 4/3 × π × r³ - Surface area:
A = 4 × π × r²
Worked example
Radius 3: V = 4/3 × π × 3³ = 36π ≈ 113.0973 and A = 4 × π × 3² = 36π ≈ 113.0973.
Radius 2: V = 32π ÷ 3 ≈ 33.5103 and A = 16π ≈ 50.2655.
Frequently asked questions
What is the formula for the volume of a sphere?
V = 4/3 × π × r³. A sphere with radius 3 has a volume of 4/3 × π × 27 = 36π, about 113.0973.
How do I find the surface area of a sphere?
A = 4 × π × r². With radius 3 that is 4 × π × 9 = 36π, about 113.0973 square units.
How do I find the volume from the diameter?
Halve the diameter to get the radius, then use the same formula. A ball 6 wide has radius 3, so its volume is about 113.0973.
What happens to the volume if the radius doubles?
The volume grows by a factor of 8 because it depends on r³. Radius 1 gives about 4.1888, and radius 2 gives about 33.5103, which is 8 times larger.