Variation 2 · answer guide
Volume of revolution — Different target volume
Question
Using , find if .
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
- State the final answer clearly in the form the question requested. (both positive).
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Quadratic may yield two positive roots.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2022 HSC Extension 1 paper Question 13(b)