Set up and solve contextual measurement problems that require choosing the correct geometric formula and units.
Match the context to the right formula
Problem
A cylindrical soup can has radius \(4~\text{cm}\) and height \(10~\text{cm}\). Write the formula for the paper needed to cover the entire outside, including \(\text{both}~\text{ends}\).
Big Picture
What this problem is really about
Match the formula to the surfaces the paper must cover. A closed can contributes two circular ends plus one curved side; the ends use two copies of circle area, while the side unwraps to circumference times height. Combining those parts counts the complete exterior without switching to inside capacity or a one-dimensional boundary.
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