Multiple choice

If the total surface area a solid right circular cylinder is $200\pi {cm}^{2}$ and its radius is $5cm$, then the sum of its height and radius is

  1. $20cm$
  2. $25cm$
  3. $30cm$
  4. $15cm$
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A Correct answer
Explanation

Total surface area of a cylinder = 2 * pi * r * (h + r) = 200 * pi. Given r = 5, we have 2 * pi * 5 * (h + 5) = 200 * pi. Dividing by 10 * pi gives h + 5 = 20.

AI explanation

Using the total surface area formula for a cylinder, 2 * pi * r * (h + r) = 200 * pi. Substituting the given radius of 5 cm gives 2 * pi * 5 * (h + 5) = 200 * pi. Dividing both sides by 10 * pi leaves h + 5 = 20, so the sum of the height and radius is 20 cm.

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