Geometry and TrigonometryVery hardCurved surface of a cylinder
Geometry and Trigonometry practice question
A cylindrical tin has radius 3 centimetres and height 10 centimetres. The area of its curved surface, not counting the top and bottom, can be written as kπ square centimetres. What is the value of k?
Answer: 60
The curved surface unrolls to a rectangle of width 2π(3) and height 10: 60π.
Common wrong answers
- If you answered 30
- 30 uses πr rather than 2πr.
- If you answered 78
- 78 adds the two circular ends.
- If you answered 90
- 90 is the volume's coefficient.
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