Volume of a Tennis Ball in Cubic Centimeters

Tennis Ball Volume Formula:

\[ V = \frac{4}{3} \pi r^3 \]

Ball Volume (cm³):

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1. What is a Tennis Ball Volume Calculator?

Definition: This calculator estimates the volume of a tennis ball in cubic centimeters based on its radius.

Purpose: It helps sports professionals, engineers, and students understand the spatial requirements of tennis balls.

2. How Does the Calculator Work?

The calculator uses the standard sphere volume formula:

\[ V = \frac{4}{3} \pi r^3 \]

Where:

\( V \) — Volume of the ball (cubic centimeters)
\( \pi \) — Mathematical constant (~3.14159)
\( r \) — Radius of the ball (centimeters)

Explanation: The formula calculates the three-dimensional space occupied by a perfect sphere.

3. Importance of Tennis Ball Volume

Details: Understanding ball volume is crucial for equipment design, packaging, and aerodynamic studies in sports science.

4. Using the Calculator

Tips: Enter the ball radius in centimeters (standard tennis ball radius is 3.35 cm). Value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the standard tennis ball radius?
A: The standard radius is about 3.35 cm (diameter ≈ 6.7 cm).

Q2: Why calculate tennis ball volume?
A: Volume calculations help in designing storage, understanding buoyancy, and studying ball behavior.

Q3: How accurate is this for real tennis balls?
A: This calculates ideal sphere volume. Actual balls may vary slightly due to seams and felt covering.

Q4: What's the volume of a standard tennis ball?
A: Approximately 134 cm³ when using the standard radius of 3.35 cm.

Q5: Can I calculate diameter instead of radius?
A: Simply divide diameter by 2 to get radius for this calculator.