A $0\mathrm{.}4-$m$-$diameter spherical tank of negligible thickness contains iced water at $0C.$ Air at $25C$ flows over

the tank with a velocity of $2\frac{m}{s}.$ Determine the rate of heat transfer to the tank and the rate at which ice

melts. The heat of fusion of water at $0C$ is $333\mathrm{.}7k\frac{J}{k}g.$ The properties of air at $1$ atm pressure and the

free$-$stream temperature of $25C$ are $($Table A$-15)k=0\mathrm{.}02551\frac{W}{m}*C,v=1\mathrm{.}562{10}^{-5}\frac{m^2}{s},{}_{}=1\mathrm{.}849$

${10}^{-5}k\frac{g}{m}*s,{}_{s,\text{@}}0C=1\mathrm{.}729{10}^{-5}k\frac{g}{m}*s,$ and $Pr=0\mathrm{.}7296$

The rate of heat transfer is

W$.$

The rate at which the ice melts is

$k\frac{g}{h}.$