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What does the calculation of the surface area of a cylinder take into account?

  1. Only height

  2. Radius and height

  3. Volume and height

  4. Diameter only

The correct answer is: Radius and height

The calculation of the surface area of a cylinder indeed takes into account both the radius and the height. The surface area consists of two main components: the areas of the circular bases and the area of the curved surface that wraps around the side. To calculate the surface area, you consider the radius to determine the area of the circular bases using the formula for the area of a circle, which is πr². Since a cylinder has two bases, you multiply that area by two, resulting in 2πr². The curved surface area is calculated by the formula 2πrh, where h is the height of the cylinder. By combining these two parts, the formula for the total surface area becomes 2πr² + 2πrh. In summary, both the radius and height are essential for accurately calculating the surface area of a cylinder, which confirms that the choice referencing both dimensions is correct.