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Doctors Medicines MCQs Q&A

  1. 275 cm3
  2. 315 cm3
  3. 495 cm3
  4. 535 cm3
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1 Answers

Option 3 : 495 cm3

Let the heights of the large & small cone be ‘H’ cm & ‘h’ cm respectively

Let the radius of the large & small cone be ‘R’ cm & ‘r’ cm respectively

⇒ h = 70% of H

⇒ h/H = 7/10

Also,

⇒ r = 50% of R

⇒ r/R = 1/2

Now,

Volume of cone = Volume of cone = (1/3)π × (radius)2 × Height

⇒ Volume of small cone/Volume of large cone = r2h/R2H = (1/4) × 7/10 = 7/40

⇒ Volume of small cone = 7/40 × Volume of large cone = 7/40 × 600 = 105 cm3

∴ Volume of remaining part = 600 – 105 = 495 cm3
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