Answer:
Purple Cylinder
Step-by-step explanation:
You are given the equation for the volume of a cylinder, which is: [tex]r^2h\pi[/tex], where r is the radius of the cylinder and h is the height.
We are given both the height and radius of each cylinder in the question, therefore we can work out the volume of each of them.
Purple Cylinder:
Radius given = 2
Height given = 2
[tex]V=(2)^2(2)\pi =(4)(2)\pi =8\pi[/tex], so the volume of the purple cylinder is [tex]8\pi[/tex].
Green Cylinder:
Radius given = 1
Height given = 6
[tex]V=(1)^2(6)\pi =(1)(6)\pi =6\pi[/tex], so the volume of the green cylinder is [tex]6\pi[/tex].
Now let's compare the volumes: [tex]8\pi >6\pi[/tex]. [tex]8\pi[/tex] is larger than [tex]6\pi[/tex] so the volume of the purple cylinder is greater than the volume of the green cylinder.
