Geometry and TrigonometryEasy–MediumVolume of a cylinder in terms of π
Geometry and Trigonometry practice question
A cylindrical water tank has a radius of 3 metres and a height of 10 metres. What is its volume, in cubic metres?
- A. 90πCorrect
- B. 30π
- C. 60π
- D. 300π
Answer: A. 90π
V = πr²h = π(9)(10) = 90π.
Why the other answers are wrong
- B. 30π
- 30π uses r instead of r².
- C. 60π
- 60π uses 2r × h, the lateral-surface style product, not r²h.
- D. 300π
- 300π uses h² instead of r².
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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