Geometry and TrigonometryHardArea of a can's label
Geometry and Trigonometry practice question
A cylindrical can has a radius of 4 centimetres and a height of 10 centimetres. A label wraps once around the curved surface with no overlap. The area of the label is kπ square centimetres. What is the value of k?
Answer: 80
Curved surface area = 2πrh = 2π(4)(10) = 80π.
Common wrong answers
- If you answered 32
- 32 is 2 × 4², an end-area calculation.
- If you answered 40
- 40 uses πrh, forgetting the 2.
- If you answered 160
- 160 doubles 80 by adding the two circular ends as if they were part of the label.
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