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A solid metallic cylinder of radius 12 cm and height 175 cm is melted and moulded into another solid cylinder of height 63 cm. What is the radius of the new cylinder?
  • a)
    14
  • b)
  • c)
    20
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A solid metallic cylinder of radius 12 cm and height 175 cm is melted ...
From given question
Here r1 = 12 cm
h1 = 175 cm
r2 = ?
h2 = 63 cm
Volume of c1 = Volume of c2
πr12 h1 = πr22 h2
122 × 175 = r22 × 63
∴ r2 = 20
So the radius of new cylinder is 20 cm.
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