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Mathematics

A solid cylinder, made of iron is melted and recasted into solid cones of same radius of cross-section and height. Then the number of cones obtained is :

  1. 2

  2. 6

  3. 3

  4. 4

Mensuration

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Answer

Let radius of both be r cm and height be h cm.

Let number of cones formed be n.

Then,

Volume of cylinder = n × Volume of cone

πr2h = n × 13πr2h\dfrac{1}{3}πr^2h

n = 3πr2hπr2h\dfrac{3πr^2h}{πr^2h} = 3.

Hence, Option 3 is the correct option.

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