Question 1: A cylinder has a radius of 3 cm and a height of 10 cm. Calculate its total surface area using the formula 2πr² + 2πrh.

Answer: Approximate value based on calculation

Question 2: If the radius of a cylinder is doubled while keeping the height the same, how does the surface area change? Explain your reasoning.

Answer: The surface area increases by a factor of 4; because both 2πr² and 2πrh depend on r, with r squared term dominating.

Question 3: Calculate the surface area of a cylinder with radius 5 cm and height 8 cm.

Answer: Approximate value based on calculation

Question 4: A cylinder's surface area is 188π cm². If its radius is 4 cm, find its height.

Answer: Calculate h based on rearranged formula

Question 5: Identify the common mistake students might make when calculating the surface area of a cylinder and explain how to correct it.

Answer: Incorrectly adding areas or mixing formulas; clarify the formula 2πr² + 2πrh.

Question 6: Construct a cylinder with a radius of 2 cm and a height of 12 cm on the grid. Then, calculate its surface area.

Answer: Approximate value after drawing and calculation

Question 7: A cylindrical water tank has a surface area of 440π cm² and a radius of 5 cm. Find its height.

Answer: Determine h from the formula

Question 8: A cylindrical can has a surface area of 150π cm². Its height is 10 cm. Find the radius.

Answer: Solve for r

Question 9: A cylinder's height is 15 cm and its radius is 3 cm. If the surface area is increased by 50%, what is the new surface area?

Answer: Calculate 1.5 times original surface area

Question 10: Calculate the surface area of a cylinder with radius 7 cm and height 14 cm. Then, determine if the surface area exceeds 200π cm².

Answer: Calculate and compare with 200π

Question 11: A student mistakenly uses the formula 2πr² + 2πh for the surface area of a cylinder. Explain the error and correct the formula.

Answer: Incorrect use of the formula; the correct formula includes 2πrh, not 2πh.