Answer
$\textbf{Ans)}$ $ Volume_{can} =2.2963\times 10^{-5}$ $m^{3}$
Work Step by Step
The density of an Object in terms of mass and volume is given as
$$M=ρ× Volume$$
The total Mass of Full black cherry soda is 0.416 kg.
$M_T = M_{can} +M_{soda}$
$0.416 = M_{can} +M_{soda}$
But
$$M_{soda}=ρ_{soda}× Volume_{soda}$$
$M_{soda} = 1000\times 3.54\times10^{-4}$
$M_{soda} = \text{0.354 kg}$
$0.416 - \text{0.354 } = M_{can} $
$M_{can} = \text{0.062 kg}$
Now,
$$M_{can}=ρ_{can}× Volume_{can}$$
$ Volume_{can} = \frac{0.062}{2700}$ $m^{3}$
$\textbf{Ans)}$ $ Volume_{can} =2.2963\times 10^{-5}$ $m^{3}$
