P4.6.1 - Evaluation of volume of revolution

Evaluation of volume of revolution. π ∫ y2 dx is required, but not π ∫ x2 dy.; Students should be able to find a volume of revolution, given parametric equations.

Use evaluation of volume of revolution to connect the rule to the data and decision in the question.

This matters because evaluation of volume of revolution determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply evaluation of volume of revolution to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Evaluation of volume of revolution is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.