Level 3 Differentiation Walkthrough
2016 NCEA Level 3 Differentiation Question 2(e)
2016 Paper
Walkthrough overview
What this question practises
This 2016 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Maximising the volume of a cone inside a sphere.
This is Question 2(e) from the 2016 NCEA Level 3 Differentiation paper for AS91578 — Apply differentiation methods in solving problems. Use the guided hints to practise the method before revealing the full working.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise maximising the volume of a cone inside a sphere. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Finding a stationary value is only part of an optimisation argument; justify that it is the required maximum and respect the domain.
Continue practising
- All 2016 Differentiation walkthroughs
- All AS91578 Differentiation years
- Practise more questions using this skill: Stationary points and optimisation