Answer:
[tex]4696.0 in.^3[/tex]
Step-by-step explanation:
The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.
The volume of a cylinder is given by the formula
[tex]V=\pi r^2 h[/tex]
where
V is the volume
r is the radius of the base
h is the height of the cylinder
In this problem, we have:
h = 24.90 in. is the height of the can
d = 15.50 in. is the diameter of the can, so the radius is half of this value:
[tex]r=\frac{d}{2}=\frac{15.50}{2}=7.75 in.[/tex]
Therefore, the volume of the trash can is:
[tex]V=\pi (7.75)^2 (24.90)=4696.0 in.^3[/tex]
