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Which formula represents the total surface area of a cylinder?

  1. 2(3.14)(rh) + 2(3.14)r^2

  2. (3.14)(r^2)(h)/3

  3. (3.14)(r^2)

  4. (2LW + 2WH + 2LH)

The correct answer is: 2(3.14)(rh) + 2(3.14)r^2

The correct answer is represented by the formula for the total surface area of a cylinder, which comprises two parts: the lateral surface area and the area of the two circular bases. The lateral surface area can be calculated using the formula \(2\pi rh\), where \(r\) is the radius and \(h\) is the height of the cylinder. Additionally, the area of the two circular bases is calculated as \(2\pi r^2\). When these two components are combined, the total surface area formula becomes \(2(3.14)(rh) + 2(3.14)(r^2)\), using \(3.14\) as an approximation for \(\pi\). This encompasses all parts of the cylinder, making it the appropriate formula to describe its total surface area.