Acone-shaped hole is drilled into a solid cube of metal as shown. if the cube has sides of length 7 cm, what is the volume of the metal after the hole is drilled? let π ≈ 3.14 and round your answer to the nearest tenth.

This problem really should have the image attached, as we are not quite sure what the radius of the cone is, nor are we sure about how deeply the cone-shaped hole is bored into the cube.  When I did this, I just assumed that the radius of the cone was half the length of the cube which is 3.5, and I assumed that the height of the cone was the same as the height of the cube which is 7. So the volume for the cube itself is 7*7*7=343. Now we have to subtract from that the volume of the cube, which has a formula of
If we fill in those values I'm assuming to be accurate, our formula then looks like this:

which equals 89.752   If we subtract the volume of the cone from the volume of the cube, we will get that volume of what's left is