Problem$1$

An object weighs $36$ g in air and has a volume of $8\mathrm{.}0$ cm $3.$ What will be its apparent weight when immersed in water?

Problem $2$

A balloon having a volume of $5\mathrm{.}000$ L is placed on a sensitive balance which registers a weight of $2\mathrm{.}833$ g $.$

What is the "true weight" of the balloon if the density of the air is $1\mathrm{.}294g{L}^{-1}?$

Problem $3$

A piece of metal weighs $9\mathrm{.}25$ g in air, $8\mathrm{.}20$ g in water, and $8\mathrm{.}36$ g when immersed in gasoline.

a$)$ What is the density of the metal?

b$)$ What is the density of the gasoline?