A drilled conical frustum

A drilled conical frustum

Secondary 2
TGM Original Questions

A wooden frustum has top radius \(3\) cm, bottom radius \(5\) cm and slant height \(6\) cm. A cylindrical hole of radius \(1.5\) cm is drilled axially through it. Use \(\pi=3.142\).

  1. Find frustum height.

  2. The removed wood has mass \(60\) g; find density.

  3. Show the slant height of the small cone originally cut off is \(9\) cm.

  4. Find total surface area after drilling, to \(3\) s.f.

Solution:

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Answer:(a) \(4\sqrt2\approx5.657\) cm; (b) \(1.50\text{ g/cm}^3\); (c) \(9\) cm; (d) \(297\text{ cm}^2\).

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