A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.

All the sides and top surfaces are to be covered in icing, but not the bottom.

What is the surface area of the cake that needs to be iced?

Give your answer to the nearest cm2.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.

All the sides and top surfaces are to be covered in icing, but not the bottom.

What is the surface area of the cake that needs to be iced?

Give your answer to the nearest cm2.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.

All the sides and top surfaces are to be covered in icing, but not the bottom.

What is the surface area of the cake that needs to be iced?

Give your answer to the nearest cm2.