Volume of a cylinder
Volume = area of the circle base × height = πr²h.
The common mistake
Using the diameter as r, or using circumference instead of area for the base.
Instead: Find the base area πr² with the radius, then multiply by the height.
Worked example with Guide me
A cylinder has radius 3 and height 10. Find its volume.
- Sugar · Base area?Student · 9π.
- Sugar · Times the height?Student · 90π.
Answer: 90π ≈ 282.7 cubic units
Try 3 practice questions
1. Radius 2, height 5?
Show answer
20π ≈ 62.8
2. Diameter 8, height 3?
Show answer
48π ≈ 150.8
3. Radius 1, height 7?
Show answer
7π ≈ 22.0
Quick answers
- What is the most common mistake with volume of a cylinder?
- Using the diameter as r, or using circumference instead of area for the base.
- How do I get volume of a cylinder right?
- Find the base area πr² with the radius, then multiply by the height.
- Can you show a worked example?
- A cylinder has radius 3 and height 10. Find its volume. 90π ≈ 282.7 cubic units
Related concepts
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