एक गेंद का पृष्ठीय क्षेत्रफल 9π वर्ग इकाई होने के लिए, गेंद का व्यास (इकाइयों में) कितना होना चाहिए?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 2.5
  2. 2
  3. 1.5
  4. 3

Answer (Detailed Solution Below)

Option 4 : 3
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दिया गया है:

पृष्ठीय क्षेत्रफल = 9π

प्रयुक्त सूत्र:

गोले का पृष्ठीय क्षेत्रफल = 4πr2

गणना:

⇒ 9π = 4πr2

⇒ r2 = 9/4

⇒ r = 3/2 = 1.5

​⇒ व्यास = 2r = 2 × 3/2 = 3 इकाई

∴ सही उत्तर 3 है।

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