2025 PHS PRELIMS P1 Q3

2025 PHS PRELIMS P1 Q3

Secondary 4
5 marks
2025 Presbyterian High School Prelims A Math Paper 1

Baking powder is poured onto a flat surface at a constant rate of \(2\pi\text{ cm}^3\text{s}^{-1}\), forming a right circular cone. The radius of the cone is always \(\frac{1}{18}\) of its height. Find the rate of change of the radius of the cone after \(3\) seconds of pouring.

\(\left[\text{Volume of cone} = \frac{1}{3}\pi r^2 h\right]\)[5]

Solution:

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Answer:\(0.111\ \mathrm{cm\ s^{-1}}\)

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