Question 50

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waecmaths question: 

The radii of the base of two cylindrical tins P and Q are r and 2r respectively. If the water level in P is 10cm high. What would be the height of the same quantity of water in Q

Option A: 

2.5cm

Option B: 

5.0cm

Option C: 

7.5cm

Option D: 

20.0cm

waecmaths solution: 

$\begin{align}  & V=\pi {{r}^{2}}(10)----cylinderP \\ & V=\pi {{(2r)}^{2}}h----cylinderQ \\ & \frac{V}{V}=\frac{10{{r}^{2}}}{4{{r}^{2}}h} \\ & 1=\frac{10}{4h} \\ & h=2.5cm \\\end{align}$

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