A cone immersed in a cylindrical container

A cone immersed in a cylindrical container

Secondary 2
6 marks
TGM Original Questions

Core stretch

A cone of radius \(6\) cm and height \(8\) cm stands inside a cylinder of radius \(10\) cm. Water is poured until it just covers the cone. Using \(\pi=3.142\), find

  1. the cone total surface area,

    [2]

  2. the water volume while the cone is present,

    [2]

  3. the final water depth after the cone is removed. Give non-exact answers to \(3\) significant figures.

    [2]

Solution:

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Answer:(a) \(302\text{ cm}^2\) (b) \(2.21\times10^3\text{ cm}^3\) (c) \(7.04\) cm.

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