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Volume of a right circular cone

A metal cube ...

Question

A metal cube of side 5cm at 28C on heating to 578C increases by 0.15cm.Calculate the coefficient of linear superficial and linear expansion.

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Solution

Given that:
L=5cm.,Î”L =0.15cm
Î”T=578-28=550 ^oC
Using Î”L = Î±LÎ”T
Coefficient of linear expansion,Î±=Î”L / LÎ”T= 0.15/ (5 x 550)=0.0000545 â°C^-1
^Now,
the relation between the coefficients of linear (Î±_l) and superficial expansion (Î±_a) is
Î±_a=2Î±_l
_{=2 x}_{0.0000545=0.0001091â°C}^-1

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