Multiple choice

The lateral surface area of a cylinder is 792cm2. If its height is 14cm, then its volume (in cm3) is? [Take π=22/7]

  1. 1243

  2. 3564

  3. 2564

  4. 3929

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

Lateral surface area of cylinder = 2πrh. Given LSA = 792 cm² and h = 14 cm: 2πr(14) = 792. Using π = 22/7: 2 × (22/7) × r × 14 = 792. Simplifying: 2 × 22 × r × 2 = 792, so 88r = 792, r = 9 cm. Volume = πr²h = (22/7) × 81 × 14 = 22 × 81 × 2 = 3564 cm³. This confirms option B is correct.