The formula for the volume of a cylinder is:
V=π*r²*h
We already know that...
V=75π
&
h=3in
so we can solve for the radius
V=π*r²*h
75π=π*r²*3
Divide both sides by pi
75=r²*3
Divide both sides by 3
25=r²
find the square root of both sides
5in=r
The radius of the base of the cylinder is 5in
Answer= 5in.