Final answer:
This question is about finding the surface area of a 3D figure in Mathematics, ensuring to express the answer with the correct significant figures and proper units. The calculation process requires the use of geometric formulas specific to the figure's shape, with approximations serving where precision is not critical.
Step-by-step explanation:
The subject of this question is Mathematics, particularly the topic of geometry involving the calculation of surface area. Given the cross-sectional area of a segment of the shape, the student needs to use the appropriate geometric formulas to find the total surface area of a three-dimensional figure.
When solving for the surface area, it is essential to ensure that the final answer has the correct number of significant figures and the proper units of measurement. By considering only a singular aspect of the shape, such as a square meter, you can simplify the problem by focusing on the fraction of the whole.
It's important to remember that exact formulas might not be required, as a rounded understanding of concepts such as π being roughly 3 is sufficient for some approximations. For a cylinder, the external surface area can be calculated by adding twice the area of the end-caps (πr² for each cap) to the perimeter of the circle (2πr) multiplied by the height.