Capsule solid recast as a cone

Capsule solid recast as a cone

Secondary 2
6 marks
TGM Original Questions

Core stretch

A capsule-shaped solid consists of a cylinder of height 40 cm with a hemisphere at each end. Its circular cross-sectional area is \(314.2\text{ cm}^2\), using \(\pi=3.142\). Find

  1. its radius,[2]
  2. its volume to the nearest cubic centimetre,[2]
  3. the height when recast as a cone of radius 15 cm.[2]

Solution:

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Answer:(a) \(10\) cm (b) \(16757\text{ cm}^3\) (c) \(71.1\) cm.

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