Volume of Revolution

A volume of revolution is the solid formed when a region under a curve is rotated a full turn about an axis. Rotating about the x-axis gives volume $V=\pi\int_{a}^{b} y^{2}\,dx$, obtained by summing thin circular discs.

Rotating about the y-axis uses $x^{2}$ and $dy$ instead.

You meet Volume of Revolution in the Integration chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Volume of Revolution means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Volume of Revolution (EN) · Isi Padu Kisaran (BM) · 旋转体体积 (中文)

Other key terms from the Integration chapter you may want to check:

• Integration
• Indefinite Integral
• Constant of Integration
• Definite Integral
• Area Under a Curve
• Limits of Integration