An open cylinder with a conical bottom

An open cylinder with a conical bottom

Secondary 2
TGM Original Questions

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. Find the metal area, excluding the open top.
  3. If 12.5 litres of soup is available,
    1. how many containers can be filled completely,
    2. find the radius of a hemisphere that holds all 12.5 litres.

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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