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 water tank has a cylindrical body of radius m and height m, with a hemispherical dome of the same radius on top. The tank stands on the ground, so its bottom is not painted. Take .
Total: 5 marks
(a) Find the curved surface area of the cylindrical body. (1 mark)
(b) Find the curved surface area of the dome. (2 marks)
(c) Find the total area to be painted. (2 marks)
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