Multiple choice

The total surface area of a solid cylinder is 462 cm². The area of curved surface is 1/3 of the total surface area. The volume of cylinder is – एक ठोस बेलन का सम्पूर्ण पृष्ठ क्षेत्रफल 462 सेमी2 है । इसका वक्रपृष्ठ क्षेत्रफल सम्पूर्ण पृष्ठ क्षेत्रफल का 1/3 है । बेलन का आयतन है –

  1. 530 cm³/सेमी.³

  2. 536 cm³/सेमी.³

  3. 539 cm³/सेमी.³

  4. 545 cm³/सेमी.³
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total surface area = 462 cm². Curved surface = (1/3) × 462 = 154 cm². So top + bottom = 462 - 154 = 308 cm². Each circular face area = 308/2 = 154 = πr², giving r = 7 cm. Curved surface = 2πrh = 154, so 2π × 7 × h = 154, giving h = 3.5 cm. Volume = πr²h = π × 49 × 3.5 = 539 cm³ (taking π = 22/7).

Keep practicing — related questions