Multiple choice

The ratio of the curved surface area to the total surface area of a cylinder is 3 : 5. Find out the volume of the cylinder if the curved surface is 462 cm2. (π = 22/7)

  1. 1228

  2. 1723

  3. 1540

  4. 1617

  5. None of these

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

CSA:TSA = 3:5 means 2πrh:2πr(r+h) = 3:5, so h:(r+h) = 3:5, giving 5h = 3r + 3h, so h = 1.5r. Given CSA = 462, so 2πrh = 462. Substituting h = 1.5r: 2πr(1.5r) = 462. Using π = 22/7: r = 7 cm, h = 10.5 cm. Volume = πr²h = (22/7) × 49 × 10.5 = 1617 cm³.