An aluminium sphere of `20cm` diameter is heated 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)`

Options

A. `28.9` cc
B. `2.89` cc
C. `9.28` cc
D. `49.8` cc

Answer

A

Explanation

`DeltaV = V_(0)(3alpha)Deltatheta`
=`(4)/(3)(3.14)(10)^(3)[3 xx 23 xx 10^(-6)][100-0]`
=`28.9` cc