N2019 P2 Q3
N2019 P2 Q3
7 marks
Past Year National Exams
Free
A solid cylinder has radius \(r\) cm, height \(h\) cm and total surface area \(900\) cm\(^{2}\). Find the exact value of the maximum possible volume of the cylinder. Find also the ratio \(r:h\) that gives this maximum volume.[7]
Video Solution:
Default solution
Timothy Gan
Answer:\(V_{\max}=1500\sqrt{\frac6\pi}\text{ cm}^3\), \(r:h=1:2\)
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