Question

1). What is the volume of this oblique cone?

Answer 1

As for number one, I got 120π  cm³.

For number two, I keep getting 1206.4π cm³. I do know that is not one of the options, and I so I am not sure I could answer this question.

Answer 2

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

$\text{Volume of oblique cone = }\frac{1}{3}\times \text{Area of base}\times height\\\\\text{Volume of oblique cone = }\frac{1}{3}\times (\pi r^2)\times 10\\\\\text{Volume = }\frac{1}{3}\pi\times 6\times 6\times 10\\\\\implies Volume = 120\pi$

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

$\text{Volume of the cone = }\frac{1}{3}\pi\times r^2\times height\\\\\text{Volume of cone = }\frac{1}{3}\pi\times 12^2\times 8\\\\\text{Volume = }\frac{1}{3}\pi\times 12\times 12\times 8\\\\\implies Volume = 384\pi$

Hence, Volume of cone = 384π cm³

Therefore, the correct options are : D and A