← 2022 HSC Extension 1 paper Question 13(b)

Variation 1 · answer guide

Volume of revolution — Volume formula only

Question

For on , show the solid volume is .

This practice question was inspired by Question 13(b) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. State the final answer clearly in the form the question requested.Apply disk method and power-reduction as above.

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Stops before solving for .

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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