Question

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

12π cm³

40π cm³

60π cm³

120π cm³
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2). What is the volume of this right cone?

384π cm³

691π cm³

1038π cm³

2073π cm³

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

1). Volume of oblique cone = 120π cm³

2). Volume of cone = 384π cm³

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 = }(1)/(3)* \text{Area of base}* height\\\\\text{Volume of oblique cone = }(1)/(3)* (\pi r^2)* 10\\\\\text{Volume = }(1)/(3)\pi* 6* 6* 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 = }(1)/(3)\pi* r^2* height\\\\\text{Volume of cone = }(1)/(3)\pi* 12^2* 8\\\\\text{Volume = }(1)/(3)\pi* 12* 12* 8\\\\\implies Volume = 384\pi`

Hence, Volume of cone = 384π cm³

Therefore, the correct options are : D and A