1.

An aluminium sphere of `20cm` diameter is headed from `0^(@)C` to `100^(@)c`. Its volume changes by (given that the coefficient of linear expanison for aluminium `(alpha_(Al) = 23 xx 10^(-6//0)C)`

Answer» Given `d = 20cm`
`V = V_(0) (1 + gammat) = V_(0)(1 + 3alphat)(since gamma = 3alpha)`
Change in volume `= V - V_(0) = 3V_(0)alphat`
`= 3 xx (4)/(3)pi((d)/(2))^(3) xx 23 xx 10^(-6) xx 100`
`= 3 xx (4)/(3)pi ((0.2)/(2))^(3) xx 23 xx 10^(-6) xx 100`
`= 28.9c c (1c c = 10^(-6)m^(3))`


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