a)
Since the block of paraffin is 10 cm³, hence the volume of gasoline that would be displaced when it is submerged in it would still be 10 cm³.
Volume of gasoline displaced = 10 cm³
Weight of gasoline displaced : = Weight of the 10 cm³ of gasoline.
1 cm³ of gasoline weighs 0.0069 N.
10 cm³ will weigh: 0.0069 * 10 = 0.069 N.
b) The condition for sinking is that the weight, W must be greater than the Upthrust, U.
W > U
For floatation, the weight, W must be equal to the upthrust, U
W = U
The weight of block = 0.085 N. Upthrust = weight of fluid = 0.069 N
0.085 > 0.069
So it will sink and not float in the gasoline.