SOLUTION: Two circular metal disc of radii 3.3cm and 5.6cm are melted down and cast into a single circular disc of the same thickness. Find the radius of this disc.

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Question 1205012: Two circular metal disc of radii 3.3cm and 5.6cm are melted down and cast into a single circular disc of the same thickness. Find the radius of this disc.
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
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Two circular metal disks of radii 3.3cm and 5.6cm are melted down and cast
into a single circular disc of the same thickness. Find the radius of this disc.
~~~~~~~~~~~~~~~~~~~~~

Equate the volumes

     +  = .


where "h" is the common thickness.  

Cancel common factor  .  Get

     = 

    42.25 = 

    r =  = 6.5 cm.


ANSWER.  The radius of the resulting disk is 6.5 cm.

Solved.

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The lesson to learn from this my solution is the Law of mass conservation.



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