An open cylinder with a conical bottom
An open cylinder with a conical bottom
Secondary 2
8 marks
TGM Original Questions
Core stretch
An open container has a cylindrical upper part and conical bottom, both of radius 6 cm and height 8 cm. Use \(\pi=3.142\) and give decimal answers to 2 d.p. where needed.
- Find the cone slant height.[2]
- Find the metal area, excluding the open top.[2]
- If 12.5 litres of soup is available,
- how many containers can be filled completely,[2]
- find the radius of a hemisphere that holds all 12.5 litres.[2]
Solution:
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Answer:(a) \(10\) cm (b) \(490.15\text{ cm}^2\) (c)(i) \(10\) (ii) \(18.14\) cm.
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