यदि एक गोले का आयतन 24,416.64 सेमी3 है, तो इसका पृष्ठीय क्षेत्रफल दशमलव के दो स्थानों तक सही ज्ञात कीजिए। (π = 3.14 लीजिए) 

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 3069.55 सेमी2
  2. 4069.44 सेमी2
  3. 5069.66 सेमी2
  4. 6069.67 सेमी2

Answer (Detailed Solution Below)

Option 2 : 4069.44 सेमी2
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दिया गया है:

एक गोले का आयतन 24,416.64 सेमी3 है।

प्रयुक्त अवधारणा:

एक गोले का आयतन = 4/3πr3

एक गोले का पृष्ठीय क्षेत्रफल = 4πr2

यहाँ,

r = त्रिज्या

गणना:

4/3πr3 = 24416.64

⇒ r3 = 24416.64 × (3/4) × 1/3.14

⇒ r3 = 5832

⇒ r = 18

अब,

पृष्ठीय क्षेत्रफल = 4 × 3.14 × 182

⇒ 12.56 × 324

⇒ 4069.44 सेमी2

∴ पृष्ठीय क्षेत्रफल 4069.44 सेमी2 है।

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