hey all,

so, I have encountered a problem in my studies that I am having trouble with. I was hoping the members of this community could help me out.

The problem is based on a right cone. The cone has been sliced to create a frustrum. The height of the entire unsliced cone is 20 inches, with 12 inches above the frustrum and 8 inches within the frustrum. The other piece of information that is known is the slant height of the frustrum, which is 10 inches.

No other information has been given. The problem is asking for the radius of the original cone and the volume of the frustrum.

I would also like to note that the volume of a frustrum equation has not yet been discussed in my class. So, I am under the impression that this problem can be solved without it, though I am struggling to see how.

Thanks in advance for your input.