A cylindrical casting is 0.1 m in diameter and 0.5 m in length. Another casting of the same material is elliptical in cross-sectiona, with the major axis twice the length of the minor axis, and has the same cross-sectional area and length as the cylindrical casting. Both pieces are cast using the same conditions. What is the ratio of the solidification time of the elliptical casting to the solidification time of the circular casting? The perimeter P and area K of an ellipse are
\(P=2pi\sqrt{(a^{2}+b^{2})/2}\)
and
\(K=piab\)