Cylinder Formed by a Stack of Coins
Cylinder Formed by a Stack of Coins
TGM Original
A stack of ten \(\$1\) coins forms a cylinder of base diameter \(x\) cm and height \(2.5\) cm.
- If the volume of the stack is \(11.9\) cm\(^{3}\), find \(x\).
- Find the total surface area of the stack.
- If six more of the identical \(\$1\) coins are added to the stack, find the percentage increase of the total surface area of the stack.
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Answer:(a) \(2.46\text{ cm}\) (3 s.f.) (b) \(28.9\text{ cm}^2\) (3 s.f.) (c) \(40.2\%\) (3 s.f.)
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