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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)` |
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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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