शंकू आकाराच्या साठवण टाकीची उंची आणि त्रिज्या अनुक्रमे 9 फूट आणि 7 फूट आहे. टाकीत किती पाणी साठवता येईल ते काढा? (\(\pi\)=(22)/(7) वापरा)

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. 1423 घन फूट.
  2. 462 घन फूट.
  3. 1386 घन फूट.
  4. 527 घन फूट.

Answer (Detailed Solution Below)

Option 2 : 462 घन फूट.
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Detailed Solution

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दिलेल्याप्रमाणे:

उंची (h) = 9 फूट.

त्रिज्या (r) = 7 फूट.

वापरलेले सूत्र:

शंकूचे घनफळ (V) = (1/3) × π × r2 × h

गणना:

V = (1/3) × (22/7) × 72 × 9

⇒ V = (1/3) × (22/7) × 49 × 9

⇒ V = (1/3) × 22 × 7 × 9

⇒ V = (1/3) × 1386

⇒ V = 462 घन फूट.

∴ योग्य उत्तर पर्याय (2) आहे.

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