Hemisphere-cylinder volume ratio and enlargement

Hemisphere-cylinder volume ratio and enlargement

Secondary 2
4 marks
TGM Original Questions

Core stretch

A separate solid hemisphere and cylinder have the same radius 4 cm. Their volume ratio, hemisphere : cylinder, is \(2:3\).

  1. Find the cylinder height.[2]
  2. A second solid hemisphere has 27 times the first hemisphere’s volume. Find its total surface area in terms of \(\pi\).[2]

Solution:

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Answer:(a) \(4\) cm (b) \(432\pi\text{ cm}^2\).

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