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
the cone total surface area,
[2]the water volume while the cone is present,
[2]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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