← 2021 HSC Extension 1 paper Question 13(a)

Variation 2 · answer guide

Volume of revolution — Outer only

Question

Find the volume when from to is rotated about the -axis.

This practice question was inspired by Question 13(a) in the 2021 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: Solid paraboloid volume .

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

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