How to Calculate Sphere Volume
Master sphere volume calculations with detailed explanations and real-world examples.
Understanding how to calculate the volume of a sphere is important for various applications in mathematics, engineering, and everyday life.
Sphere Volume Formula
V = (4/3) × π × r³
Where:
- V = Volume
- π = Pi (approximately 3.14159)
- r = Radius of the sphere
Step-by-Step Guide
- Identify the radius
Measure or note the radius of the sphere.
- Use the correct formula
Apply the volume formula V = (4/3) × π × r³.
- 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 sphere with radius 3 cm.
Given: r = 3 cm
Solution:
- Apply the formula: V = (4/3) × π × r³
- Substitute the values: V = (4/3) × π × 3³
- Compute the result: V = (4/3) × 3.14159 × 27 ≈ 113.1 cm³
Answer: The volume is approximately 113.1 cubic centimeters (cm³).
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