Answer:
D. [tex]120\pi\text{ cm}^3[/tex]
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:
[tex]\text{Volume of oblique prism}=\frac{1}{3}\times \pi r^2\times h[/tex]
Upon substituting our given values in volume formula we will get,
[tex]\text{Volume of oblique prism}=\frac{1}{3}\times \pi\times (6\text{ cm})^2\times 10\text{ cm}[/tex]
[tex]\text{Volume of oblique prism}=\frac{1}{3}\times \pi\times 36\text{ cm}^2\times 10\text{ cm}[/tex]
[tex]\text{Volume of oblique prism}=\pi\times 12\text{ cm}^2\times 10\text{ cm}[/tex]
[tex]\text{Volume of oblique prism}=120\pi\text{ cm}^3[/tex]
Therefore, the volume of our given oblique prism will be [tex]120\pi\text{ cm}^3[/tex] and option D is the correct choice.
