Answer:
[tex]V=652in^3[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the formula;
[tex]V=\pi r^2 h[/tex]
The cylinder bucket has a diameter of 8.5 in.
The radius is half of the diameter.
This implies that;
[tex]r=\frac{8.5}{2}[/tex]
[tex]\Rightarrow r=4.25\:in[/tex]
and the height is [tex]h=11.5 \:in.[/tex]
We substitute all these values including [tex]\pi=3.14[/tex] to obtain;
[tex]V=(3.14) (4.25)^2 (11.5)\:in^3[/tex]
[tex]V=(3.14) (18.0625) (11.5)\:in^3[/tex]
[tex]V=652.237:in^3[/tex]
To the nearest cubic unit, the volume of cylinder bucket is [tex]V=652in^3[/tex]
