The volume of the oblique cone whose height be 15 cm and the base area be 64π cm² is 320π cm³. The correct option is D.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
We know that the volume of the oblique cone is given as
[tex]\rm V = \dfrac{1}{3} *A* h[/tex]
where A is the area of the base and h be the height of the oblique cone.
The area of the base circle will be
[tex]\rm A = \pi \ 8^2\\\\A = 64 \pi[/tex]
Then the volume of the oblique cone will be
[tex]\rm V = \dfrac{1}{3} *64 \pi*15\\\\V = 320 \pi[/tex]
Thus, the volume of the oblique cone is 320π cm³.
More about the geometry link is given below.
https://brainly.com/question/7558603