Sec 3/4 E Math T10-Q08 - Volume of a conical frustum

Sec 3/4 E Math T10-Q08 - Volume of a conical frustum

Secondary 3
Original parallel to Sec3&4 E Math FA

A cone of base radius \(5\) cm and height \(18\) cm has a smaller similar cone of radius \(3\) cm removed from its top.

  1. Calculate the height of the smaller cone.
  2. Hence, calculate the volume of the remaining frustum, giving your answer correct to 3 significant figures.

Solution:

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Answer:(a) \(10.8\) cm; (b) \(369.451\,\text{cm}^3\).

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