Cylinder with conical and hemispherical cavities

Cylinder with conical and hemispherical cavities

Secondary 2
TGM Original Questions

A cylinder has radius 4 cm and height 15 cm. A conical cavity of radius 4 cm and height 6 cm is removed from its base, and a hemispherical cavity of radius 4 cm from its top. Using \(\pi=3.142\), find

  1. remaining volume,
  2. total exposed surface area.

Solution:

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Answer:(a) \(519.48\text{ cm}^3\); (b) \(568.21\text{ cm}^2\).

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