Sec 3/4 E Math Mock 1-Q18 - Mock Paper 1: Volume of a conical frustum

Sec 3/4 E Math Mock 1-Q18 - Mock Paper 1: Volume of a conical frustum

Secondary 3
3 marks
Original parallel to Sec3&4 E Math FA

A cone of base radius \(6\) cm and height \(18\) cm has a smaller similar cone of radius \(4\) cm removed from its top.

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

Solution:

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Answer:(a) \(12\) cm; (b) \(477.522\,\text{cm}^3\).

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