If the volume of a cylinder is 75pi cubic inches and the height is 3 inches then what is the radius of the base of the cylinder?

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.