Solved: A cylindrical glass bottle 21.5 cm in length is

Step 1 of 3

To solve for the inner diameter of the cylinder,

First, determine the volume of the cylindrical container using the formula volume of the cylinder, \(\mathrm{v}=\frac{\text { mass, } \mathrm{m}}{\text { density, } \rho}\)

In the problem, the following is given

The density of cooking oil, \(\rho=0.953 \frac{\mathrm{g}}{\mathrm{mL}}\)

Length of cylindrical bottle, \(\mathrm{L}=21.5\mathrm{\ cm}\)

Mass of oil, \(\mathrm{m}=1360\mathrm{\ g}\)

Substituting the given data to the formula yields,

the volume of the cylinder, \(\mathrm{v}=\frac{\mathrm{m}}{\rho}=\frac{1360\mathrm{\ g}}{0.953\frac{\mathrm{g}}{\mathrm{cm}^3}}=1427.0724\mathrm{\ cm}^3\)