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.
- Show the cone slant height is 17 cm.[2]
- Find the toy volume in terms of \(\pi\).[2]
- 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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