Multiple choice

The ratio of total surface area of a cylinder to its curved surface area is 18 : 11. If the height of the cylinder is 22 cm, what is the volume (in cm3 ) of the cylinder?

  1. 9034

  2. 10841.6

  3. 13552

  4. 8131.2

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a cylinder, total surface area (TSA) = 2πr(r + h) and curved surface area (CSA) = 2πrh. Given TSA:CSA = 18:11, we have 2πr(r + h):2πrh = (r + h):h = 18:11, so r:h = 7:11. With h = 22 cm, r = 14 cm. Volume = πr²h = π(14)²(22) = π(196)(22) = 4312π ≈ 13552 cm³.