Geometry and TrigonometryVery hardVolume of material in a hollow pipe
Geometry and Trigonometry practice question
A pipe is a cylinder 10 centimetres long with an outer radius of 6 centimetres and a circular hole of radius 3 centimetres running through its full length. The volume of material in the pipe can be written as kπ cubic centimetres. What is the value of k?
Answer: 270
π(36)(10) − π(9)(10) = 360π − 90π = 270π.
Common wrong answers
- If you answered 30
- 30 uses the radii's difference 3 rather than the difference of their squares.
- If you answered 90
- 90 is the hole.
- If you answered 360
- 360 is the full cylinder, without the hole.
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