The volume of a sphere is given by (4/3)pi*r^3.....so we have....
2 = (4/3)pi*r^3 multiply both sides by 3/4
3/2 = pi*r^3 divide both sides by pi
3/(2 pi) = r^3 take the cube root of both sides
r = about .78159
And since the diameter is twice the radius, 2r = 1.56318