7 सेमी ऊँचे एक शंकु के छिन्नक के सिरों की त्रिज्याएँ 5 सेमी और 3 सेमी हैं। दशमलव के एक स्थान तक इसका आयतन ज्ञात कीजिए। ( लीजिए)

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 2)
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  1. 345.6 सेमी3
  2. 359.3 सेमी3
  3. 379.3 सेमी3
  4. 369.3 सेमी3

Answer (Detailed Solution Below)

Option 2 : 359.3 सेमी3
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दिया गया है:

7 सेमी ऊँचे एक शंकु के छिन्नक के सिरों की त्रिज्याएँ 5 सेमी और 3 सेमी हैं।

प्रयुक्त अवधारणा:

शंकु के एक छिन्नक का आयतन =  (R = आधार की त्रिज्या, r = सिरों की त्रिज्या और H = ऊँचाई)

गणना:

अब, शंकु के छिन्नक का आयतन

⇒ 

⇒ 

⇒ 359.333 ≈ 359.3 सेमी3

इसका आयतन 359.3 सेमी3 है।

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