एक बेलन का आयतन 9240 घन मीटर है। बेलन की त्रिज्या [r + 4] मीटर और ऊँचाई 15 मीटर है। यदि घन की भुजा 2r - 4 मीटर और गोले की त्रिज्या r + 11 मीटर है, तो घन और गोले के आयतन का योग ज्ञात कीजिए।

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RRB Clerk Mains Memory Based Paper (Held On: 6 October 2024 Shift 1)
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  1. 48907
  2. 44504
  3. 46504
  4. 45804
  5. 42904

Answer (Detailed Solution Below)

Option 5 : 42904
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गणना

बेलन का आयतन = 9240 घन मीटर

बेलन की त्रिज्या = r+4

बेलन की ऊँचाई = 15 मीटर

बेलन का आयतन = πr2h

अतः, π(r + 4)2 × 15 = 9240

अतः, ⇒ r + 4 = √196​ = 14

⇒ r = 14 - 4 =10​

घन की भुजा = 2r - 4 = 2 × 10 - 4 = 16

आयतन = s3 =163 = 4096 घन मीटर

त्रिज्या = r + 11 = 10 + 11 = 21 मीटर

आयतन = [4/3] π r3 = [4/3] × [22/7] × 213 = 38808 घन मीटर

कुल आयतन (घन + गोला) = 4096 + 38808 = 42904 घन मीटर

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