Cone-hemisphere toys from a large cylinder

Cone-hemisphere toys from a large cylinder

Secondary 2
6 marks
TGM Original Questions

Core stretch

A toy joins a cone of radius 8 cm and height 15 cm to a hemisphere of radius 8 cm.

  1. Show the cone slant height is 17 cm.[2]
  2. Find the toy volume in terms of \(\pi\).[2]
  3. A solid cylinder of radius 0.8 m and height 2 m is melted into these toys. Find the maximum whole number made.[2]

Solution:

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Answer:(a) \(17\) cm (b) \(1984\pi/3\text{ cm}^3\) (c) \(1935\) toys.

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