Case study·Standard multi-step (3/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A decorative tower model has a cylindrical part of radius cm and height cm, with a cone of the same radius and height cm fixed on top.
Total: 5 marks
(a) Find the volume of the cylindrical part. (1 mark)
(b) Find the volume of the conical part. (2 marks)
(c) Find the total volume of the model. (2 marks)
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