Given:
The radius of the oblique cone is 2 cm.
The height of the oblique cone is 6 cm.
We need to determine the volume of the oblique cone.
Volume of the oblique cone:
The volume of the oblique 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 = 6 in the above formula, we get
[tex]V=\frac{1}{3} \pi (2)^2(6)[/tex]
[tex]V=\frac{1}{3} \pi (4)(6)[/tex]
[tex]V=\frac{24}{3} \pi[/tex]
[tex]V=8 \pi[/tex]
[tex]V=25.13[/tex]
Thus, the volume of the oblique cone is 25.13 cm³
Hence, Option A is the correct answer.