Answer:
The density of a potato is [tex]\dfrac{M}{V'}[/tex]
Explanation:
Given that,
A potato that is too large to fit into a graduated cylinder.
Let us consider the mass of potato is M and volume of entire potato is V'.
The volume of water is V.
We know that,
Density :
The density is equal to the mass divided by volume.
In mathematically,
[tex]\rho=\dfrac{m}{V}[/tex]
Where, m = mass
V = volume
We need to calculate the volume of potato
Using formula for volume
[tex]V'=V''-V[/tex]
Where, V' = volume of potato
V''=Volume of combine water and potato
V = volume of water
We need to determine the density of a potato
Using formula of density
[tex]Density\ of\ potato=\dfrac{Mass\ of\ potato}{volume\ of\ entire\ potato}[/tex]
Put the value into the formula
[tex]\rho=\dfrac{M}{V'}[/tex]
Hence, The density of a potato is [tex]\dfrac{M}{V'}[/tex]