Question

What is the volume of this oblique cone?

Answer 1

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

Answer 2

Answer:

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

Step-by-step 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:

$\text{Volume of oblique prism}=\frac{1}{3}\times \pi r^2\times h$

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

$\text{Volume of oblique prism}=\frac{1}{3}\times \pi\times (6\text{ cm})^2\times 10\text{ cm}$

$\text{Volume of oblique prism}=\frac{1}{3}\times \pi\times 36\text{ cm}^2\times 10\text{ cm}$

$\text{Volume of oblique prism}=\pi\times 12\text{ cm}^2\times 10\text{ cm}$

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

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