The radius of the Cylindrical hole of ocean to be digged for learning about earth's history is 0.22 feet.
Given: Hole is in the shape of Cylinder.
Volume of the Cylinder=[tex]\pi r^{2} h[/tex]
[tex]\pi[/tex]=3.14
r=radius of the cylinder
h= height of the cylinder
As given in the question volume =[tex]\pi r^{2} h[/tex]=3500 cubic feet------Eq 1
Height of the Cylinder that is the Hole of the ocean =4.1 miles.
(As mentioned radius of the hole is in feet so converting the unit of height into feet )
1 mile= 5280 feet
4.1 miles=4.1 x 5280=21648 feet
So now the height of cylinder =21648 feet -----Eq 2
From Eq 1 and 2
3500=3.14 x [tex]r^{2}[/tex] x 21648
3500=67974.72 [tex]r^{2}[/tex]
3500/67974.72=[tex]r^{2}[/tex]
0.051=[tex]r^{2}[/tex]
0.22=r
Hence the radius of the hole to be digged in an ocean is of 0.22 feet.
You can find more about cylinder :
https://brainly.com/question/6204273
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