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,
![V=(1)/(3) \pi r^2h](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2ewb3j8hebjdg50bxn9gi0y03ei9tpmhdm.png)
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
![V=(1)/(3) \pi (2)^2(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5f6q613tv0dgio2pmsu6e99tleztjdfvmz.png)
![V=(1)/(3) \pi (4)(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y6kznabvde6uegrskkxeem9utl9h0hgjpp.png)
![V=(24)/(3) \pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/n3y6wyikhd5tvvcxvnys04arucgfapx432.png)
![V=8 \pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/qbygb0jtx3083v297wfft8as2hqr80880j.png)
![V=25.13](https://img.qammunity.org/2021/formulas/mathematics/high-school/8kqbksqyasd2uyuf1haaop7qbtu86cdhxs.png)
Thus, the volume of the oblique cone is 25.13 cm³
Hence, Option A is the correct answer.