2025 CGSS PRELIMS P1 Q17

2025 CGSS PRELIMS P1 Q17

Secondary 4
4 marks

The diagram shows a sheet of rectangular paper \(ABCD\). The length is \(l\text{ cm}\). The breadth is \(b\text{ cm}\). This sheet can be rolled to form an open cylinder in two different ways: Method 1, by joining the breadths together; Method 2, by joining the lengths together.

Justify with mathematical workings why the volume of the open cylinder formed using Method 1 is larger than that formed using Method 2, for all real values of \(l\) and \(b\).[4]

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Answer:\(V_1=\frac{bl^2}{4\pi}>\frac{b^2l}{4\pi}=V_2\)

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