🔍 Part 1: Circle Area Review

1. What is the formula for the area of a circle?

2. Label the parts of this circle:

Draw lines to identify the radius, diameter, and centre on the circle diagram your teacher provides.

3. If a circle has a radius of 4 cm, what is its area? (Use π = 3.14)

📏 Part 2: Cylinder Measurement and Exploration

Instructions: Work with your partner using the whiteboard tables. Measure your cylinder models and complete the table below. Show all working clearly!

4. Complete the exploration table for your cylinder models:

Cylinder A:

Step	Measurement/Calculation	Your Answer	Explanation/Connection
Radius (r)	Measure the radius	_______ cm	Base circle radius
Base Area	π × r²	_______ cm²	Area of one layer (circle)
Height (h)	Measure the height	_______ cm	Height of cylinder
Volume (V)	Base area × height	_______ cm³	Total layers stacked = volume

Cylinder B:

Step	Measurement/Calculation	Your Answer	Explanation/Connection
Radius (r)	Measure the radius	_______ cm	Base circle radius
Base Area	π × r²	_______ cm²	Area of one layer (circle)
Height (h)	Measure the height	_______ cm	Height of cylinder
Volume (V)	Base area × height	_______ cm³	Total layers stacked = volume

🧮 Part 3: Formula Discovery

5. Based on your exploration, write the formula for the volume of a cylinder:

6. Explain in your own words how the area of the base circle relates to the volume of the cylinder:

7. Discuss with your partner: What happens to the volume if you double the radius? What if you double the height? Record your predictions:

💪 Part 4: Practice Problems

Instructions: Use your whiteboard tables to show clear working. Use π = 3.14 for all calculations.

8. Calculate the volume of a cylinder with radius 3 cm and height 10 cm.

9. A cylinder has a radius of 5 cm and height of 12 cm. What is its volume?

10. A cylindrical water tank has a radius of 2.5 metres and height of 4 metres. How many cubic metres of water can it hold?

11. Challenge: A cylinder has a height of 8 cm and volume of 201.06 cm³. What is the radius? (Hint: Work backwards from the formula!)

🤝 Part 5: Peer Discussion and Reflection

12. Compare your results with another pair. Did you get similar answers for the same cylinder? If not, discuss where differences might have occurred:

13. Which part of calculating cylinder volume do you find most challenging?

Measuring the radius accurately

Calculating the base area (πr²)

Multiplying base area by height

Understanding what volume represents

Using the calculator correctly

14. Explain to your partner how you would find the volume of a cylinder. Write the key steps:

15. Real-world connection: Name three cylindrical objects you might need to find the volume of in real life and explain why:

Cylinder Volume Exploration Worksheet

Cylinder Volume Exploration Worksheet

🔍 Part 1: Circle Area Review

📏 Part 2: Cylinder Measurement and Exploration

🧮 Part 3: Formula Discovery

💪 Part 4: Practice Problems

🤝 Part 5: Peer Discussion and Reflection

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