How much corn oil must the bowl displace in order to float?

Question

A metal bowl with a weight of 1.50 N is placed in a larger kitchen container filled with corn oil. How much corn oil must the bowl displace in order to float? For reference, the mass density of corn oil is about 900 g/liter and its weight density is about 8.82 N/liter. Please give your answer in liter

Answer 1

One Liter is 0.001 of a Cubic Meter.

Mass of the bowl is (1.5 Newtons) ÷ (9.80665 Meters Per Second Per Second)

equal to 0.1529574319 Kilograms.

By Archimedes' Principle: 

Equate (0.1529574319 kg) x (9.80665 m/s²) To (0.9 kg/0.001 m³) x (9.80665 m/s²) × (V_{corn oil} m³).

This simplifies to Volume Of The Corn Oil or V_{corn oil} as 1.699527022×10^-4 m³.

1.699527022×10^-4 Cubic Meter Times 1000 Liters Per Cubic Meter gives 0.1699527022 Liters

equivalent to 170 Milliliters.