📚 Topic Summary
The volume of a sphere is the amount of space it occupies. To calculate it, you need to know the sphere's radius (the distance from the center to any point on the surface). The formula is relatively simple: $V = \frac{4}{3} \pi r^3$, where $V$ is the volume, $\pi$ (pi) is approximately 3.14159, and $r$ is the radius. This worksheet will help you practice using this formula with various sphere problems!
🧠 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Radius |
A. The amount of space a 3D object occupies. |
| 2. Diameter |
B. A line segment passing through the center of the sphere connecting two points on the sphere. |
| 3. Volume |
C. A number that represents the ratio of a circle's circumference to its diameter, approximately 3.14159. |
| 4. Pi ($\pi$) |
D. Twice the radius of a circle or sphere. |
| 5. Sphere |
E. The distance from the center of a circle or sphere to any point on its surface. |
Match the numbers 1-5 to letters A-E.
📝 Part B: Fill in the Blanks
Complete the paragraph using the words: volume, radius, $\frac{4}{3}$, sphere, $\pi$.
The _______ of a _______ is calculated using the formula $V = _______ \pi r^3$, where $V$ represents the _______ and $r$ represents the _______.
💡 Part C: Critical Thinking
Imagine you have two spheres: Sphere A has a radius of 3 cm, and Sphere B has a radius of 6 cm. How many times greater is the volume of Sphere B compared to Sphere A? Explain your reasoning. Show your work!