The volume of a cylinder is:
diameter= 24cm
r= d/2
radius= 24/2
radius= 12cm
height= 42cm
[tex]\begin{gathered} V=\text{ }\pi r^2h \\ V=\text{ }\pi(12)^2(42) \\ V=\text{ }\pi(144)(42) \\ V=\text{ }\pi6048 \\ V=\text{ 19,000.35 cm}^3 \end{gathered}[/tex]The approximate volume of the trash can is C.
[tex]\approx\text{ 19,000 cm}^3[/tex]