← 2022 HSC Extension 1 paper Question 13(b)

Variation 3 · answer guide

Volume of revolution — k=1 check

Question

For , on , verify the 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..

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

Verification: Direct substitution of the critical value.

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

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