ज्या गोळ्याचे क्षेत्रफळ 124.74 चौरस सेमी आहे त्या गोळ्याचे घनफळ किती असेल?

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DDA JE Civil Official Paper (Held On: 28 Mar, 2023 Shift 2)
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  1. 133.123 घन सेमी
  2. 129.325 घन सेमी
  3. 128.324 घन सेमी
  4. 130.977 घन सेमी

Answer (Detailed Solution Below)

Option 4 : 130.977 घन सेमी
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दिलेल्याप्रमाणे:

क्षेत्रफळ 124.74 चौरस सेमी आहे 

वापरलेले सूत्र:

गोळ्याचे एकूण पृष्ठफळ = 4 π r2

गोळ्याचे घनफळ = (4/3)π r3

गोळ्याची त्रिज्या = r

गणना:

गोळ्याचे एकूण पृष्ठफळ = 4 π r2

⇒ 4 π r2 = 124.74

⇒ r = √(124.74 × 7/88)

⇒ r = 3.15

प्रश्नानुसार,

गोळ्याचे घनफळ = (4/3)π r3 

⇒ (4/3) π × (3.15)3

⇒ 130.977 घन सेमी

∴ गोळ्याचे घनफळ 130.977 घन सेमी आहे.

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