Cone water poured into a composite container

Cone water poured into a composite container

Secondary 2
4 marks
TGM Original Questions

Core stretch

Open container A consists of a hemisphere of radius 5 cm below a cylinder of the same radius and height 30 cm. Container B is a full cone of radius 10 cm and height 18 cm.

  1. Find A’s exterior curved area in terms of \(\pi\).[2]
  2. All water from B is poured into A. Find the water depth from A’s lowest point.[2]

Solution:

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Answer:(a) \(350\pi\text{ cm}^2\) (b) \(77/3\approx25.7\) cm.

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