Question 1: Calculate the lateral surface area of a cylindrical rocket tank with a radius of 3 meters and a height of 10 meters.

Answer: 188.50

Question 2: Find the total surface area of a space satellite component shaped like a cylinder with radius 2.5 meters and height 4 meters.

Answer: 83.54

Question 3: A spaceship fuel tank is a cylinder with a volume of 157 cubic meters. If the radius of the tank is 3 meters, find its height.

Answer: 5.55

Question 4: Construct a cylinder with a height of 6 meters and a diameter of 4 meters on the grid. Label the radius and height.

Answer: Radius = 2 meters, Height = 6 meters

Question 5: The International Space Station (ISS) has a cylindrical module with a radius of 2 meters and a length of 4 meters. Calculate its surface area.

Answer: 75.40

Question 6: A cylindrical space observatory has a height of 12 meters and a radius of 3 meters. Find its volume.

Answer: 339.29

Question 7: Explain the common mistake when calculating the surface area of a cylinder if a student forgets to include the area of the circular bases.

Answer: They only calculate the lateral surface area and omit the areas of the top and bottom circles.

Question 8: A cylindrical spacecraft fuel container has a height of 8 meters and a volume of 201.06 cubic meters. What is its radius?

Answer: 3.0

Question 9: Calculate the surface area of a cylinder that has a lateral surface area of 94.2 square meters and a total surface area of 125.66 square meters. What is the area of its bases combined?

Answer: 31.44

Question 10: Challenge: A space telescope's main body is a cylinder with a radius of 1.5 meters and a height of 5 meters. Calculate the amount of surface area that needs to be painted if only the cylindrical surface and the top are painted.

Answer: 21.21