$1.$ Water at $293$ K flows with a velocity of $0\mathrm{.}1$ m$/$s over a copper sphere $($k $=398$ W$/$mK$)$ of $6$ cm in diameter. The rate of heat generation per unit volume because of a heat source present inside the sphere is expressed as:

$$ G $=$ G$0[]$

where G$0=2107$ W$/$m$3.$ Calculate the temperature on the surface of the copper sphere at steady$-$state