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Doctors Medicines MCQs Q&A

  1. 32 cm3
  2. 34 cm3
  3. 38 cm3
  4. 36 cm3
  5. 40 cm3
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1 Answers

Option 4 : 36 cm3

Given:

Volume of solid cone = 18 cm3

Radius of cylinder = Radius of cone

Height of cylinder = Height of cone

Concept used:

Volume of cone = πr2h/3

Volume of cylinder = πr2h

Volume of cone + volume of water = Volume of cylinder

Calculation:

Let the volume of water added be x cm3

Volume of cone = 18 cm3

Volume of cone = πr2h/3

⇒ πr2h/3 = 18 cm3

⇒ πr2h = 54 cm3

Now, Volume of cone + volume of water = Volume of cylinder

⇒ 18 cm3 + x = πr2h

⇒ 18 cm3 + x = 54 cm3

⇒ x = 36 cm3

∴ Volume of water which can be added to the empty space is 36 cm3

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