A cylinder joined to a hemisphere

A cylinder joined to a hemisphere

Secondary 3
6 marks
TGM Original Questions

A solid ornament consists of a right circular cylinder of radius 3 cm and height 4 cm, joined to a solid hemisphere of radius 3 cm along their matching circular faces. There is no overlap or gap. The circular base of the cylinder is exposed. Give answers correct to 3 significant figures.

  1. Calculate the total volume.[3]
  2. Calculate the total exposed surface area.[3]

Solution:

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Answer:(a) \(170\text{ cm}^3\). (b) \(160\text{ cm}^2\), both 3 s.f.

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