2026 AHS P1 Q2

Secondary 4

7 marks

A solid cylinder has a radius of \((3+\sqrt2)\text{ cm}\). The volume of the cylinder is \(\pi(32+13\sqrt2)\text{ cm}^3\).

Without using a calculator, express the total surface area of the cylinder in the form of \(2\pi(a+b\sqrt2)\), where \(a\) and \(b\) are constants.[7]

Solution:

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Answer:\(2\pi(21+7\sqrt2)\text{ cm}^2\); \(a=21\), \(b=7\).

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