We wish to find the surface area of the shape given, consisting of a hemisphere and a cylinder. The radius is 10.55 mm. The height of cylinder is 33.1 mm.

Hence find the total surface area of the shape, correct to two decimal places.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: We wish to find the surface area of the shape given, consisting of a hemisphere and a cylinder. The radius is 10.55 mm. The height of cylinder is 33.1 mm.

Hence find the total surface area of the shape, correct to two decimal places.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: We wish to find the surface area of the shape given, consisting of a hemisphere and a cylinder. The radius is 10.55 mm. The height of cylinder is 33.1 mm.

Hence find the total surface area of the shape, correct to two decimal places.