Question 1

What is the formula for the volume of a sphere?

Accepted Answer

The volume of a sphere is V = (4/3) × π × r³, where r is the radius. For example, a sphere with radius 5 has volume (4/3) × π × 125 ≈ 523.6 cubic units.

Question 2

What is the formula for the surface area of a sphere?

Accepted Answer

The surface area of a sphere is A = 4 × π × r². For example, a sphere with radius 5 has surface area 4 × π × 25 ≈ 314.16 square units.

Question 3

How is sphere volume different from circle area?

Accepted Answer

A circle is a 2D shape with area A = πr². A sphere is a 3D object with volume V = (4/3)πr³. The sphere's volume grows much faster because it involves r³ rather than r².

Question 4

What if I only know the diameter?

Accepted Answer

The radius is half the diameter: r = d/2. You can enter either the radius or diameter in this calculator — it will compute all values automatically.

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