Final answer:
The surface area of a cylinder can be found with the formula 2πr² + 2πrh, which combines the areas of the circular end-caps and the side rectangle. The volume of a cylinder is calculated using the formula V = πr²h.
Step-by-step explanation:
The formula to find the area of a cylindrical prism, more commonly known as the surface area of a cylinder, involves calculating the areas of the two circular end-caps and the rectangular side that wraps around the cylinder. To find the surface area, use the formula 2πr² + 2πrh. This is the sum of the areas of the two circles (πr² each) and the rectangle formed by the side of the cylinder (πd times height, or 2πrh). The volume of the cylinder, on the other hand, is calculated using the formula V = πr²h, which is the area of the circular base multiplied by the height of the cylinder.