The coins are in the shape of a cylinder.
The formula to calculate the volume of a cylinder is given as
[tex]V=\pi r^2h[/tex]
where
[tex]\begin{gathered} r=\text{ radius} \\ h=\text{ height} \end{gathered}[/tex]
The individual coin has the following dimensions:
[tex]\begin{gathered} r=1\text{ in} \\ h=0.0625\text{ in} \end{gathered}[/tex]
Thus, the volume of one coin can be calculated as
[tex]\begin{gathered} V=\pi\times1^2\times0.0625 \\ V=0.196\text{ cubic inches} \end{gathered}[/tex]
If there are 225 coins in the chest, the combined volume of all the coins will be
[tex]\begin{gathered} V_T=0.196\times225 \\ V_T=44.1\text{ cubic inches} \end{gathered}[/tex]
The combined volume is 44.1 cubic inches.
