Question on: WAEC Mathematics - 2014

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, would be the height of the same quantity of water in Q?

A
2.5cm
B
5.0cm
C
7.5cm
D
20.0cm
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Correct Option: A

volume of cylinder = (\pi r^2h)

volume of cylinder p = (\pi r^2 \times 10)

= 10(\pi r^2)

volume of cylinder Q = (\pi (2r)^2 h)

= 4(\pi r^2)h

4(\pi r^2 = 10 \pi r^2 h)

h = (\frac{10}{4} = 4.5cm)

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