F=ma 2015 Problem 11

A sphere floats in water with 2 / 3 of the volume of the sphere submerged. The sphere is removed and placed in oil that has 3 / 4 the density of water. If it floats in the oil, what fraction of the sphere would be submerged in the oil?

Answer Choices
A. 1 / 12
B. 1 / 2
C. 8 / 9
D. 17 / 12
E. The sphere will not float, it will sink in the oil.