Answer:
4.4cm
Step-by-step explanation:
The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.
Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.
We can set up an equation V = [tex]\pi r^{2}h[/tex]
If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]
If we divide both sides be 8pi and square root both sides after that, we can find the value of r.
[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]
To the nearest tenth, the radius would round up, yielding 4.4cm
