Counting every exposed frustum face

Counting every exposed frustum face

Secondary 3
5 marks
TGM Original Questions

A solid right circular conical frustum has bottom radius 6 cm, top radius 3 cm and perpendicular height 4 cm. Both circular faces are exposed.

  1. Find the slant height of the frustum.[2]
  2. Find its total surface area, correct to 3 significant figures. You may use curved area \(=\pi(R+r)s\), where \(R\) and \(r\) are the radii and \(s\) is the slant height.[3]

Solution:

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Answer:(a) 5 cm. (b) \(283\text{ cm}^2\) (3 s.f.).

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