A table tennis ball has a diameter of 4.0 cm. What is its volume in cm^3? (Assume the ball is a perfect sphere.)

• A. 33.5 cm^3
• B. 50.3 cm^3
• C. 16.8 cm^3
• D. 25.1 cm^3

Answer: (A)

Verified step by step guidance

1. Identify the shape of the object: The table tennis ball is a perfect sphere.
2. Recall the formula for the volume of a sphere: \(V = \frac{4}{3} \pi r^{3}\), where \(r\) is the radius of the sphere.
3. Calculate the radius of the ball by dividing the diameter by 2: \(r = \frac{4.0\ \text{cm}}{2} = 2.0\ \text{cm}\).
4. Substitute the radius value into the volume formula: \(V = \frac{4}{3} \pi (2.0)^{3}\).
5. Simplify the expression by calculating the cube of the radius and then multiply by \(\frac{4}{3} \pi\) to find the volume in cm\(^{3}\).