What is the surface area of a sphere?

Surface area = 4πr². For a sphere of radius 5: SA = 4 × π × 25 ≈ 314.16 square units.

How do I find volume from diameter?

Radius = diameter / 2, then V = (4/3)π(d/2)³ = πd³/6. For example, a sphere of diameter 10 has V = π × 1000 / 6 ≈ 523.6 cubic units.

What is the relationship between sphere and cylinder volumes?

Archimedes proved that a sphere inscribed in a cylinder occupies exactly 2/3 of the cylinder's volume. This elegant relationship works for any radius.

Sphere Volume Calculator

The Sphere Volume Calculator computes the volume of a sphere using the formula V = 4/3 × π × r³. Spheres appear in science, engineering, architecture, and everyday life — from ball bearings and water droplets to planets and storage tanks. Enter the radius to calculate the volume and surface area instantly.

Radius

How to Use This Calculator

1
Enter the radius of the sphere.
2
Click Calculate to see the volume.
3
Surface area = 4πr² = 4 × 3.14159 × radius².

Frequently Asked Questions

V = (4/3)πr³, where r is the radius and π ≈ 3.14159. For a sphere of radius 5: V = (4/3) × π × 125 ≈ 523.6 cubic units.

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