A solid sphere is floating on water with exactly half of it above the waterline and exposed to air. The water is at 10 C and the air at 25 C. The temperature of the sphere was 30 C when it was initially set out to float. The heat transfer coefficients are 20 J/s m7 C and 100 J/s m7 C, respectively, between the sphere and air and between the sphere and water. The sphere material has high enough conductivity that its temperature be assumed uniform at any instant.

What steady state temperature will the sphere reach?