Composite toy recast as a square pyramid

Composite toy recast as a square pyramid

Secondary 2
4 marks
TGM Original Questions

Core stretch

A solid consists of a cone of radius 6 cm and height 8 cm joined to a hemisphere of radius 6 cm. It is melted into a right square pyramid with base side 10 cm. Using \(\pi=3.142\), find

  1. the original volume,[2]
  2. the pyramid face slant height.[2]

Solution:

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Answer:(a) \(754.08\text{ cm}^3\) (b) \(23.2\) cm.

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