Volume of a sphere
The volume of a sphere is the amount of space enclosed inside it.
Practice This ConceptMain explanation
Teacher explanation
A sphere is completely round, so its volume depends only on the radius. The formula shows that volume grows very fast when radius increases, because the radius is cubed. This makes sphere volume questions especially important in three-dimensional mensuration.
Example
A sphere of radius 3 cm has volume 4/3 πr³ = 4/3 × π × 27 = 36π cm³, which is about 113.14 cm³.
Simple analogy
Sphere volume is four-thirds pi times radius cubed.
Common confusion
Students often use 4πr², which is the surface area formula, instead of the volume formula.
Exam tip
For sphere volume, remember the fraction 4/3 and the cube of the radius.
Answer writing and exam use
1-mark use
Write the exact meaning of volume of a sphere in one clean line.
2-mark use
Define volume of a sphere and add one example or condition.
3-mark use
Explain volume of a sphere, show the method or example, and mention the common mistake.
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