Sphere Volume Practice: Worksheets and Questions

📚 Topic Summary

The volume of a sphere is the amount of space it occupies. To calculate it, you only need to know its radius (r). The formula for the volume (V) of a sphere is $V = \frac{4}{3} \pi r^3$. Remember that $\pi$ (pi) is approximately 3.14159. This worksheet will help you practice applying this formula to different problems and scenarios.

🧪 Part A: Vocabulary

Match the terms with their definitions:

1. Radius
2. Diameter
3. Volume
4. Sphere
5. Pi ($\pi$)

Definitions:

1. The distance across a circle through the center.
2. A three-dimensional round object.
3. The amount of space a three-dimensional object occupies.
4. The distance from the center of a circle to its edge.
5. The ratio of a circle's circumference to its diameter, approximately 3.14159.

(Match the numbers to the numbers)

🧮 Part B: Fill in the Blanks

Complete the sentences using the words provided: radius, volume, sphere, \(\frac{4}{3}\), $\pi$.

The formula to calculate the ______ of a ______ is given by V = ______ ______ $r^3$, where r is the ______. The symbol for pi is ______.

🤔 Part C: Critical Thinking

Explain in your own words why knowing the radius is sufficient to calculate the volume of a sphere. What real-world objects are shaped like spheres, and why might calculating their volume be useful?