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A cylinder with closed ends has a total surface area ; the radius of the base is and the height is . Find an expression for in terms of and .

The expression I get cancels down to $√a^2=a$ which seems obvious.

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HINT: The total surface area $S$ of a closed cylinder with radius $a$ & height $ka$ is given as $$S=2\pi (a)(ka)+2\pi a^2$$