Question 1: Calculate the volume of a cylinder with radius 3 cm and height 10 cm.

Answer: 282.74

Question 2: A cylinder has a radius of 5 m and a height of 12 m. What is its volume? (Use π ≈ 3.14)

Answer: 942.0

Question 3: If the volume of a cylinder is 1570 cm³ and the radius is 5 cm, what is its height?

Answer: 19.0

Question 4: Construct a cylinder with a radius of 4 cm and height of 15 cm on the grid. Show your work.

Answer: Approximate volume = 754.0 cm³

Question 5: Plot the graph of y=2x on the grid.

Answer: Line passing through (0,0) with slope 2

Question 6: A cylindrical tank has a radius of 2 meters and a height of 8 meters. Calculate its volume using π ≈ 3.14.

Answer: 100.48

Question 7: A student mistakenly uses the formula πr² + h instead of πr²h to find the volume of a cylinder. Explain why this is incorrect and what the correct approach should be.

Answer: Because volume requires multiplication of the base area by height, not addition.

Question 8: A cylinder's radius is mistakenly taken as 4 cm when it is actually 6 cm. How much is the error in the calculated volume if the height is 10 cm? (Use π ≈ 3.14)

Answer: Approximate error = 339.4 cm³

Question 9: Identify and correct the mistake in this calculation: Volume = π × 4² × 10 = 3.14 × 16 × 10 = 502.4 cm³.

Answer: No mistake; the calculation is correct.

Question 10: A cylinder with radius r and height h has a volume of 1570 cm³. If the height is doubled, what is the new volume?

Answer: 3140 cm³

Question 11: A learner uses the formula V = πr²h and gets a volume of 300 cm³ with radius 3 cm. What height did they assume? Show your calculation.

Answer: Approximately 6.68 cm