2026 EVG P1 Q10

2026 EVG P1 Q10

Secondary 4
3 marks

Complete the following statement. You are to show your working clearly.

The combined volumes of a cone of height \(3r\) and radius \(3r\) and a hemisphere of radius \(3r\) is equal to the volume of a cylinder of radius ______ and height ______.[3]

Solution:

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Answer:For example, radius \(r\), height \(27r\); other positive pairs with \(R^2H=27r^3\) are valid.

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