A capsule-shaped horizontal fuel tank

A capsule-shaped horizontal fuel tank

Secondary 2
8 marks
TGM Original Questions

Core stretch

A horizontal tank consists of a cylinder of radius 0.5 m and length 2 m with a hemisphere at each end. Use \(\pi=3.142\).

  1. Find exterior area.[2]
  2. Painting costs $0.80 per square metre; find cost.[2]
  3. Find capacity.[2]
  4. Find the horizontal fuel-surface area when exactly half full.[2]

Solution:

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Answer:(a) \(9.426\text{ m}^2\) (b) \(\$7.54\) (c) \(2.095\text{ m}^3\) (d) \(2.786\text{ m}^2\).

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