Multiple choice

The total surface area of a cylinder with height 'a' and base radius 'b' is

  1. 2πb (a + b)

  2. 2πa (a + b)

  3. 2πa2 (a + b)

  4. 2πab
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A Correct answer
Explanation

The total surface area of a cylinder is the sum of the areas of the two circular bases (2 * pi * b^2) and the lateral surface area (2 * pi * b * a). Factoring out 2 * pi * b gives 2 * pi * b * (a + b).

AI explanation

The total surface area of a cylinder is the sum of its curved surface area and the area of its two circular bases, given by the formula 2πrh + 2πr². Substituting the height 'a' and base radius 'b' into the formula yields 2πba + 2πb². Factoring out 2πb gives the result 2πb(a + b).

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