FTCE Professional Education Practice Exam

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What does the total surface area of a cylinder encompass?

2(3.14)(rh) + 2(3.14)r^2
(3.14)(r^2)(h)
4/3(3.14)(r^3)
1/3Bh

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

The total surface area of a cylinder is calculated by combining the areas of the two circular bases and the rectangular surface that wraps around the sides. The formula for the total surface area is given by: Total Surface Area = 2(πr^2) + 2(πrh) In this formula: - The term 2(πr^2) accounts for the area of the two circular bases (top and bottom) of the cylinder, where πr^2 is the area of one circle. - The term 2(πrh) represents the lateral surface area of the cylinder. This is calculated by taking the circumference of the circle (2πr) and multiplying it by the height (h) of the cylinder, giving the formula for the lateral surface area. Using 3.14 as an approximation for π, the expression shown in the correct answer reflects this calculation accurately, making it the correct answer.