Given:
The radius of the cone is 2 cm.
The height of the cone is 2.25 cm.
We need to determine the volume of the cone.
Volume of the cone:
The volume of the cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2h[/tex]
where r is the radius and h is the height of the cone.
Substituting r = 2 and h = 2.25, we get;
[tex]V=\frac{1}{3} (3.14)(2)^2(2.25)[/tex]
Simplifying, we get;
[tex]V=\frac{1}{3} (3.14)(4)(2.25)[/tex]
Multiplying, we get;
[tex]V=\frac{1}{3} (28.26)[/tex]
Dividing, we get;
[tex]V=9.42 \ cm^3[/tex]
Thus, the volume of the cone is 9.42 cubic cm.
Hence, Option b is the correct answer.
