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Rates of change and differential equations — Question 17

QCAA 2025, Paper 1 · 7 marks

Q17 · 2025 · Technology-freeComplex familiar7 marks

QUESTION 17 (7 marks)

The radius of a cylinder decreases at a constant rate of 0.50.5 m s−1^{-1}, while maintaining a constant height of four metres. Given that the cylinder has an initial volume of 100π100\pi m3^3, determine the rate of change of the volume (m3^3 s−1^{-1}) of the cylinder after four seconds.
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