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An aluminium sphere of diameter 20 cm is...

An aluminium sphere of diameter 20 cm is heated from `0^(@)C " to " 100^(@)C`. What will be its change in volume? Coefficient of linear expansion of aluminium `=23 times 10^(-6@)C^(-1)`.

Text Solution

Verified by Experts

Initial volume of the aluminium sphere,
`=4/3pi(20/2)^(3)=4/3pi(10)^(3)cm^(3)`
Value of `gamma` for aluminium `=3 times alpha=3 times 23 times 10^(-6@)C^(-1).`
Hence, increase in volume,
`V_(t)-V_(0)=V_(0)gammat=4/3pi times 10^(3) times 3 times 23 times 10^(-6) times 100`
`" "=28.9 cm^(3).`
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