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Question Number 51098 by peter frank last updated on 24/Dec/18
$${Two}\:{similar}\:{spherical} \\ $$$${bodies}\:{of}\:{radius}\:{R}\:{and}\:\mathrm{2}{R} \\ $$$${are}\:{initially}\:{are}\:{at}\:{same}\: \\ $$$${temperature}.{if}\:{they}\:\:{are} \\ $$$${kept}\:{to}\:{cool}\:{under}\:{the}\:{same} \\ $$$${condition}.{show}\:{qualitatively} \\ $$$${which}\:{of}\:\:{the}\:{two}\:{spherical} \\ $$$${body}\:{will}\:{cool}\:{faster}. \\ $$
Answered by peter frank last updated on 24/Dec/18
Commented by peter frank last updated on 24/Dec/18
$${the}\:{sphere}\:{of}\:{radius}\:{R}\:{will} \\ $$$${cool}\:{faster}\:{than}\:{the}\: \\ $$$${sphere}\:{of}\:{radius}\:\mathrm{2}{R} \\ $$$${becouse}\:{the}\:{rate}\:{of}\:{cooling} \\ $$$${for}\:{the}\:{small}\:{radius}\:{is} \\ $$$${twice}\:{that}\:{of}\:{the}\:{larger} \\ $$$${sphere}\:\mathrm{2}{R}. \\ $$