Answer:
7540
Step-by-step explanation:
10 raised to the power of 3 is 1000
7.54 * 1000 = 7540
if the cylinder has a diameter of 8, its radius is half that, or 4.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.3096\implies V=\stackrel{rounded}{1005}](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%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D4%5C%5C%20h%3D20%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%284%29%5E2%2820%29%5Cimplies%20V%3D320%5Cpi%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%201005.3096%5Cimplies%20V%3D%5Cstackrel%7Brounded%7D%7B1005%7D)
Points are said to be collinear if they are on the same line. The possible lengths of CD are 31.6cm and 12.6cm
Given that:
![CE=22.1cm](https://tex.z-dn.net/?f=CE%3D22.1cm)
![DE = 9.5cm](https://tex.z-dn.net/?f=DE%20%3D%209.5cm)
<u>If E is between C and D, then:</u>
![CD =CE + DE](https://tex.z-dn.net/?f=CD%20%3DCE%20%2B%20DE)
So, we have:
![CD =22.1cm + 9.5cm](https://tex.z-dn.net/?f=CD%20%3D22.1cm%20%2B%209.5cm)
![CD =31.6cm](https://tex.z-dn.net/?f=CD%20%3D31.6cm)
Another possible scenario is:
<u>If D is between C and E, then:</u>
![CE = CD + DE](https://tex.z-dn.net/?f=CE%20%3D%20CD%20%2B%20DE)
Make CD the subject
![CD = CE - DE](https://tex.z-dn.net/?f=CD%20%3D%20CE%20-%20DE)
So, we have:
![CD = 22.1cm -9.5cm](https://tex.z-dn.net/?f=CD%20%3D%2022.1cm%20-9.5cm)
![CD = 12.6cm](https://tex.z-dn.net/?f=CD%20%3D%2012.6cm)
Hence, the possible values of CD are 31.6cm and 12.6cm
Read more about collinear points at:
brainly.com/question/1593959
Answer:
doesn't exist is the answer.