STEP 1: Write out the given values
Height of can = 5 inches
Diameter of can =3 inches
Therefore
[tex]\text{Radius}=\frac{Diameter}{2}=\frac{3}{2}[/tex]
STEP 2: Write out the formula for the volume of the can.
The can is a cylinder so we will find the volume of a cylinder.
[tex]\begin{gathered} The\text{Volume of the can=}\pi r^2h \\ \end{gathered}[/tex]
STEP 3: input the values in the formula.
[tex]\begin{gathered} volume=\frac{22}{7}\times(\frac{3}{2})^2\times5 \\ =\frac{22}{7}\times\frac{9}{4}\times5 \\ =\frac{990}{28} \\ =35.36\text{ cubic inches} \end{gathered}[/tex]
