How to Calculate Cylinder Volume
Understand cylinder volume calculations with practical examples and applications in real-world scenarios.
Understanding how to calculate the volume of a cylinder is important for various applications in mathematics, engineering, and everyday life.
Cylinder Volume Formula
V = π × r² × h
Where:
- V = Volume
- π = Pi (approximately 3.14159)
- r = Radius of the circular base
- h = Height of the cylinder
Step-by-Step Guide
- Identify the dimensions
Measure or note the radius of the base and the height of the cylinder.
- Use the correct formula
Apply the volume formula V = π × r² × h.
- Calculate the result
Perform the calculations carefully, paying attention to units.
- Verify your answer
Check that your final volume is in cubic units (e.g., cm³, m³, in³).
Example Calculation
Problem: Calculate the volume of a cylinder with radius 4 cm and height 10 cm.
Given: r = 4 cm, h = 10 cm
Solution:
- Apply the formula: V = π × r² × h
- Substitute the values: V = π × 4² × 10
- Compute the result: V = 3.14159 × 16 × 10 ≈ 502.65 cm³
Answer: The volume is approximately 502.65 cubic centimeters (cm³).
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