$($d$)$ A massive ice rod is placed in a rigid, $8m-$diameter cylindrical tank of oil. The oil level in the tank rises by $654\mathrm{.}9mm$ when the ice fully melts. Determine the initial mass, volume, and dimensions of the ice rod if its height is equal to radius. Given poil and ${}_{\text{i}\text{c}\text{c}}$ is $0\mathrm{.}7\frac{g}{c}{m}^3$ and $0\mathrm{.}9168\frac{g}{c}{m}^3,$ respectively.

$(5$ Marks$)$