Answer:
1). Volume of oblique cone = 120π cm³
2). Volume of cone = 384π cm³
Step-by-step explanation:
1). Dimensions of the oblique cone :
radius of the base = 6 cm and height of the cone = 10 cm
[tex]\text{Volume of oblique cone = }\frac{1}{3}\times \text{Area of base}\times height\\\\\text{Volume of oblique cone = }\frac{1}{3}\times (\pi r^2)\times 10\\\\\text{Volume = }\frac{1}{3}\pi\times 6\times 6\times 10\\\\\implies Volume = 120\pi[/tex]
Hence, Volume of oblique cone = 120π cm³
2). Dimensions of the cone :
radius of the base = 12 cm and height of the cone = 8 cm
[tex]\text{Volume of the cone = }\frac{1}{3}\pi\times r^2\times height\\\\\text{Volume of cone = }\frac{1}{3}\pi\times 12^2\times 8\\\\\text{Volume = }\frac{1}{3}\pi\times 12\times 12\times 8\\\\\implies Volume = 384\pi[/tex]
Hence, Volume of cone = 384π cm³
Therefore, the correct options are : D and A
