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The internal and external diameter of a hollow hemispherical shell are \(6 \ cm\) and \(10 \ cm\) respectively. If it is melted and recast into a solid cylinder of diameter \(14 \ cm\), then find the height of the cylinder.
 
Answer:
 
The height of the cylinder \(=\)  \(cm\)
 
[Note: Enter your answer up to two decimal places.]