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A cube of metal side is 7cm melted down and recast in a cylindrical mould with a diameter of 3cm. How long is the cylinder of metal?

 Oct 20, 2014

Best Answer 

 #1
avatar+98173 
+5

The volume of the cube = (7cm)^3 = 343cm^3

Therefore, the cylinder has the same volume (assuming no loss due to melting)...so we have

343 = pi*r^2 *h  →

343 =pi*(1.5)^2*h →

343 / [pi *(1.5)^2] = h =  about 48.52cm

 

 Oct 20, 2014
 #1
avatar+98173 
+5
Best Answer

The volume of the cube = (7cm)^3 = 343cm^3

Therefore, the cylinder has the same volume (assuming no loss due to melting)...so we have

343 = pi*r^2 *h  →

343 =pi*(1.5)^2*h →

343 / [pi *(1.5)^2] = h =  about 48.52cm

 

CPhill Oct 20, 2014

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