2021 TJC IP1 FM EOY Q11

2021 TJC IP1 FM EOY Q11

IP 1
7 marks

The diagram below (not drawn to scale) shows a metal statue that comprises of a closed half-cylinder that is mounted on a cuboid. The dimensions of the cuboid are \(1.1\text{ m}\) by \(0.2\text{ m}\) by \(2.5\text{ m}\). The radius of the semi-circular cross-section of the half-cylinder is \(1.5\text{ m}\) and the breadth is \(0.4\text{ m}\).

  1. Find the volume of metal, in \(\text{m}^3\), used to make the statue.[3]
  2. Find the total surface area, in \(\text{m}^2\), of the statue.[4]

Solution:

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Answer:(a) \(1.96\text{ m}^3\) (b) \(16.7\text{ m}^2\)

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