Multiple choice

What is the difference between the total surface area and curved surface area of a cylinder whose radius is equal to 10 cm?

  1. 200π cm2

  2. 300π cm2

  3. 100π cm2

  4. 10π cm2
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A Correct answer
Explanation

Total surface area (TSA) = 2*pi*r*(r+h) and curved surface area (CSA) = 2*pi*r*h. The difference is TSA - CSA = 2*pi*r^2. With r = 10, the difference is 2*pi*100 = 200*pi.

AI explanation

The total surface area of a cylinder is 2 * pi * r * (h + r) and the curved surface area is 2 * pi * r * h. Subtracting the curved surface area from the total surface area leaves 2 * pi * r^2. Substituting r = 10 cm into this expression gives 2 * pi * 10 * 10 = 200 * pi cm2. The difference is 200 * pi cm2.

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