Problem $-2$

In casting experiments performed using a certain alloy and type of sand mold, it took $170$ sec for a

cube$-$shaped casting to solidify. The cube was $50$ mm on a side. $($a$)$ Determine the value of the mold

constant in Chvorinov's rule. $($b$)$ If the same alloy and mold type were used, find the total solidification time

for a cylindrical casting in which the diameter $=50mm$ and length $=50mm.$