Required information

A $30-$cm$-$diameter, $4\mathrm{.}35-$m$-$high cylindrical column of a house made of concrete $(k=0\mathrm{.}79\frac{W}{m}*K,=5\mathrm{.}94{10}^{-7}\frac{m^2}{s},=$

$1600k\frac{g}{m^3},$ and $c_p=0\mathrm{.}84k\frac{J}{k}g*K)$ cooled to $14C$ during a cold night is heated again during the day by being exposed to

ambient air at an average temperature of $28C$ with an average heat transfer coefficient of $14\frac{W}{m^2}*K.$ Use analytical one$-$

term approximation method $($not the Heisler charts$).$

Determine how long it will take for the column surface temperature to rise to $26\mathrm{.}125C.($You must provide an answer before moving to

the next part.$)$

The time taken for the column surface temperature to rise to $26\mathrm{.}125C$ is $21\mathrm{.}49$ hours.