Use geometric shapes, measurements, and properties to describe real-world objects.
Inventory surfaces and compute exact/two-decimal area
Problem
Use the diagram to inventory the exposed surfaces of a closed cylinder with \(r~=~2\) and \(h~=~5\). Calculate the exact surface area in terms of \(\pi~\) and the area to \(\text{two}~\text{decimal}~\text{places}\) with \(\text{square}~\text{units}\).
Inventory the exposed exterior before doing any arithmetic. A closed cylinder contributes each circular end once, while its curved side unrolls to a rectangle whose width is the base circumference and whose height is the cylinder height. Add those area contributions, retain pi in the exact total, and round only the completed sum, keeping square units throughout.
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