Cylinder with a hemispherical top

Cylinder with a hemispherical top

Secondary 2
6 marks
TGM Original Questions

Core stretch

A solid consists of a cylinder of radius 4 cm and height 18 cm with a hemispherical top. Using \(\pi=3.142\), find

  1. its volume to the nearest cubic centimetre,[2]
  2. the cost of painting only the hemisphere at $1.25 per square centimetre,[2]
  3. the area of each flat face, to the nearest square centimetre, when the solid is cut vertically through its axis.[2]

Solution:

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Answer:(a) \(1039\text{ cm}^3\) (b) \(\$125.68\) (c) \(169\text{ cm}^2\).

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