A disk with diameter $40$ cm and $5$ cm thick is to be cast of pure aluminum in an open mold casting operation. The melting temperature of aluminum $=660$C and the pouring temperature will be $800$C$.$ Assume that the amount of aluminum heated will be $5\%$ more than what is needed to fill the mold cavity. Compute the amount of heat that must be added to the metal to heat it to the pouring temperature, starting from a room temperature of $25$C$.$

The heat of fusion of aluminum $=389\mathrm{.}3$ J$/$g$,$ $=2\mathrm{.}70$ g$/$cm$3$ and specific heat C $=0\mathrm{.}88$ J$/$g$-$C$.$ Assume the specific heat has the same value for solid and molten aluminum