Multiple choice

The ratio between the curved surface area and the total surface area is 2:3 and the total surface area is 924 cm2. What is the volume of the cylinder?(in cm3)

  1. 2156

  2. 2183

  3. 2492

  4. None of these

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

CSA: TSA = 2:3, so CSA = (2/3)×924 = 616. For cylinder: TSA = 2πr(r+h) = 924, CSA = 2πrh = 616. Dividing: h/(r+h) = 616/924 = 2/3, so 3h = 2r + 2h, giving h = 2r. From 2πr(3r) = 924, r = 7, h = 14. Volume = πr²h = π×49×14 = 2156.