2026 NASS P1 Q25

2026 NASS P1 Q25

Secondary 4
6 marks
  1. The diagram shows a sheet of rectangular paper \(ABCD\) measured 24 cm by 17 cm.
    The sides \(AD\) and \(BC\) are joined together to form an open cylinder.
    Find the volume of the cylinder, in terms of \(\pi\).[2]
  2. The diagram shows a piece of card in the shape of a quadrant with centre \(G\).
    \(FG\) and \(GH\) are joined together to form a cone.
    The curved surface area of the cone is \(72\dfrac14\pi\text{ cm}^2\).
    Find the volume of the cone.[4]

Solution:

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Answer:(a) \(\dfrac{2448}{\pi}\text{ cm}^3\). (b) \(311\text{ cm}^3\).

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