2017 MJC Promo Q2

2017 MJC Promo Q2

6 marks
Promo

A closed cylinder with a circular base has radius \(r\) cm and fixed height \(h\) cm. Given that its volume \(V\) is increasing at a rate twice as fast as its surface area \(A\), with respect to time \(t\), show that \(r=\frac{2h}{h-4}\). Hence show that \(h>4\).[6]

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Answer:\(r = \displaystyle\frac{2h}{h-4}\), \(h > 4\)

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