धातु के एक बेलनाकर पाइप का आयतन 7480 सेमी3 है। यदि इसकी लंबाई 1.4 मी है और इसकी बाहरी त्रिज्या 9 सेमी है, तो इसकी मोटाई (दिया गया है π = 22/7) है:

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SSC CGL Previous Paper 46 (Held On: 6 June 2019 Shift 1)
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  1. 1.2 सेमी
  2. 0.9 सेमी
  3. 0.8 सेमी
  4. 1 सेमी

Answer (Detailed Solution Below)

Option 4 : 1 सेमी
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दिया गया:

बेलन की लंबाई (h) = 1.4 m = 140 cm, बेलन की बाहरी त्रिज्या, R = 9 cm और बेलन की आंतरिक त्रिज्या = r cm

F1 Abhishek Madhu 13.07.21 D2

 

संकल्पना:

ठोस बेलन का आयतन, \(V_s=(\pi R^2h)\)

खोखले बेलन का आयतन, \(V_h= \pi (R^2-r^2)h\)

गणना:

खोखले बेलन का आयतन = \(V_h=\pi (R^2-r^2)h\)

\(\Rightarrow 7480=\frac{22}{7} \times (9^2-r^2) \times 140\)

\(\Rightarrow(81-r^2) = 17\)

⇒ r = 8 cm

∴ बेलनाकार पाइप की मोटाई = R – r = 9 – 8 = 1 cm
 
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