Multiple choice

If the curved surface area of a closed cylinder is 225 cm2 and the area of its base is 169 cm2, then find the total surface area of the cylinder.

  1. $394 cm2$
  2. $343 cm2$
  3. $563 cm2$
  4. $195 cm2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved surface area = 2πrh = 225π. Base area = πr² = 169π, so r = 13 cm. From curved surface area: 2π(13)h = 225π, giving h = 225/26 ≈ 8.65 cm. Total surface area = 2πr(h + r) = 2π(13)(225/26 + 13) = 26π(225/26 + 338/26) = 26π(563/26) = 563π cm².

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