6 सेमी ऊंचाई वाले एक ठोस बेलन का आयतन 231 सेमी3 है, तो बेलन की त्रिज्या क्या है?

This question was previously asked in
SSC CPO Tier- I Previous Paper 19 (Held on: 14th March 2019 Shift 1) 
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  1. 21 सेमी 
  2. 2.1 सेमी 
  3. 35 सेमी 
  4. 3.5 सेमी 

Answer (Detailed Solution Below)

Option 4 : 3.5 सेमी 
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

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दिया गया है:

बेलन की ऊंचाई = 6 सेमी

बेलन का आयतन = 231 सेमी3

प्रयुक्त सूत्र:

बेलन का आयतन = πr2h

जहाँ,

r = बेलन की त्रिज्या

h = बेलन की ऊँचाई

गणना:

बेलन का आयतन = πr2h

⇒ 231 = (22/7) × r2 × 6

⇒ r2 = 231 × (7/22) × (1/6)

⇒ r2 = 12.25

⇒ r = √12.25

⇒ r = 3.5 सेमी

बेलन की त्रिज्या 3.5 सेमी है।

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