Question

What is the volume of this oblique cone?

12π cm³

40π cm³

60π cm³

120π cm³

Answer 1

hey I tried, hope it helps... can't work it out, all the best

Answer 2

D.
`120\pi\text{ cm}^3`

Explanation:

We have been given a diagram of oblique prism and we are asked to find the volume of our given oblique cone.

Since we know that volume of prism equals 1/3 of the base area times height of the prism.

As base of the prism is circle, so volume of prism will be:

`\text{Volume of oblique prism}=(1)/(3)* \pi r^2* h`

Upon substituting our given values in volume formula we will get,

`\text{Volume of oblique prism}=(1)/(3)* \pi* (6\text{ cm})^2* 10\text{ cm}`

`\text{Volume of oblique prism}=(1)/(3)* \pi* 36\text{ cm}^2* 10\text{ cm}`

`\text{Volume of oblique prism}=\pi* 12\text{ cm}^2* 10\text{ cm}`

`\text{Volume of oblique prism}=120\pi\text{ cm}^3`

Therefore, the volume of our given oblique prism will be
`120\pi\text{ cm}^3` and option D is the correct choice.