let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%20%5Ccline%7B1-1%7D%20r%3D8%5C%5C%20h%3Dx%5C%5C%20V%3D768%5Cpi%20%5Cend%7Bcases%7D%5Cimplies%20768%5Cpi%20%3D%5Cpi%20%288%29%5E2%28x%29%5Cimplies%20768%5Cpi%20%3D64%5Cpi%20x%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B768%5Cpi%20%7D%7B64%5Cpi%20%7D%3Dx%5Cimplies%2012%3Dx)
Use the app store to look for some answers my friend there's some good apps on there
The train is traveling at 165 mph
495/3=165
825/5=165
1155/7=165
1485/9=165
Answer:(0,4)
Step-by-step explanation:
<span>The first two cuts can intersect at only 1 pt regardless of where they are placed.
So 4 pieces there.
The last cut can only intersect each other cut a 1 pt, regardless of placement. As long as the intersection is different than the first intersection, then you will have 7 pieces.</span>