एक बेलन की ऊँचाई 14 cm है और वक्र पृष्ठीय क्षेत्रफल 528 cm2 है। बेलन का आयतन है:

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  1. 1244 cm3
  2. 792 cm3
  3. 1584 cm3
  4. 2538 cm3

Answer (Detailed Solution Below)

Option 3 : 1584 cm3
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दिया गया है:

बेलन का वक्र पृष्ठीय क्षेत्रफल = 528 cm2

ऊँचाई = 14 cm

प्रयुक्त सूत्र:

वक्र पृष्ठीय क्षेत्रफल = 2πRH

आयतन = πR2H

गणना:

वक्र पृष्ठीय क्षेत्रफल = 528 = 2 × 22/7 × r × 14

⇒ R = 6 cm

बेलन का आयतन = 22/7 × 6 × 6 × 14 = 1584 cm3

∴ बेलन का आयतन = 1584 cm3

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