एक बेलन का पार्श्व क्षेत्रफल 3168 सेमी2 है और इसकी ऊँचाई 48 सेमी है। आयतन ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 5244 सेमी3
  2. 5544 सेमी3
  3. 5644 सेमी3
  4. 16632 सेमी3

Answer (Detailed Solution Below)

Option 4 : 16632 सेमी3
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Detailed Solution

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दिया गया है:

बेलन का पार्श्व पृष्ठीय क्षेत्रफल = 3168 सेमी2

ऊँचाई = 48 सेमी

प्रयुक्त सूत्र:

बेलन का आयतन = πr2h

बेलन का वक्र पृष्ठीय क्षेत्रफल = 2πrh

गणना:

⇒ 2πrh = 3168

⇒ 2 × 22/7 × r × 48 = 3168

⇒ r = 3168 × 7/(2 × 22 × 48)

⇒ r = 22176/2112

⇒ r = 10.5 सेमी

आयतन = 22/7 × 10.5 × 10.5 × 48 = 16632 सेमी3

∴ सही उत्तर 16632 सेमी3 है।

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