Question 1: Calculate the volume of a cylinder with radius 3 cm and height 10 cm using the formula πr²h. Provide your answer in cubic centimeters.

Answer: 282.74

Question 2: A cylinder has a radius of 4 meters and a height of 7 meters. What is its volume? Use π ≈ 3.14.

Answer: 351.84

Question 3: If the volume of a cylinder is 500 cubic units and the radius is 5 units, what is its height?

Answer: 6.37

Question 4: Plot the graph of y=2x for x values from 0 to 10 on the grid.

Answer: Students draw on grid

Question 5: Construct a cylinder with radius 2 cm and height 12 cm. Show the steps to calculate its volume.

Answer: π≈3.14; Volume=π×2²×12=3.14×4×12=150.72

Question 6: A container is shaped like a cylinder with radius 5 inches and height 15 inches. Calculate its volume using π≈3.14.

Answer: 1173.0

Question 7: Identify and correct the mistake in the following calculation: Volume = 2×π×3²×10 = 180π.

Answer: Incorrect formula; should be πr²h, not 2×π×r²×h

Question 8: A cylindrical water tank has a radius of 6 meters and a height of 8 meters. How much water (in cubic meters) can it hold? Use π ≈ 3.14.

Answer: 904.32

Question 9: A cylinder's volume is 785.4 cubic centimeters, and the height is 10 cm. Find the radius. (Use π ≈ 3.14).

Answer: 5 cm

Question 10: A cylinder with radius 4 meters has a volume of 804.25 cubic meters. What is its height?

Answer: 5.05

Question 11: A student calculates the volume of a cylinder as 188.4 cm³ with radius 3 cm. What mistake did the student make? Correct it.

Answer: Incorrect calculation; actual volume should be π×3²×h, so solve for h.