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📚 Topic Summary
Volume is the amount of space a three-dimensional object occupies. Understanding how to calculate the volume of cylinders, cones, and spheres is essential in geometry. Each shape has a unique formula that relies on its specific dimensions, like radius and height. This worksheet will help you practice applying these formulas!
🧮 Part A: Vocabulary
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Volume | A. A three-dimensional object with a circular base and a vertex |
| 2. Radius | B. The amount of space a three-dimensional object occupies |
| 3. Cone | C. The distance from the center of a circle to any point on its circumference |
| 4. Cylinder | D. A three-dimensional object with two parallel circular bases connected by a curved surface |
| 5. Sphere | E. A perfectly round three-dimensional object |
Match the correct term with its definition:
- 🔍 1 - B
- 💡 2 - C
- 📝 3 - A
- 📈 4 - D
- ➗ 5 - E
✍️ Part B: Fill in the Blanks
Complete the sentences using the words provided: radius, \(\pi\), height, base, sphere.
- 📏 The volume of a cylinder is found using the formula $V = \(\pi\) * r^2 * h$, where r is the _______ and h is the _______.
- 🧲 The constant _______ is approximately equal to 3.14159.
- ⚽ The volume of a _______ is found using the formula $V = \frac{4}{3} * \(\pi\) * r^3$.
- 📐 A cone's volume depends on the area of its _______ and its height.
🤔 Part C: Critical Thinking
Imagine you have clay and want to create either a large sphere or a tall cylinder. If both shapes use the same amount of clay, which shape would have a larger radius and why? Explain your reasoning.
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