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.

  1. Find the cone slant height.[2]
  2. Find the metal area, excluding the open top.[2]
  3. If 12.5 litres of soup is available,
    1. how many containers can be filled completely,[2]
    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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