Geometry and TrigonometryMediumVolume of a cylindrical tank from its width
Geometry and Trigonometry practice question
A cylindrical water tank is 10 metres across and 3 metres deep. What is its volume, in cubic metres?
- A. 75πCorrect
- B. 300π
- C. 30π
- D. 150π
Answer: A. 75π
'10 metres across' is the diameter, so the radius is 5. Volume = πr²h = π(25)(3) = 75π.
Why the other answers are wrong
- B. 300π
- 300π uses the diameter, 10, as the radius (π × 100 × 3).
- C. 30π
- 30π uses the radius without squaring it (π × 5 × 3 × 2, or similar).
- D. 150π
- 150π doubles the correct answer, as if the depth were 6.
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