Respuesta :

Answer:

The radius of the cylinder​ is 7 inches

Step-by-step explanation:

we know that

The area of the base of cylinder is equal to

[tex]A=\pi r^{2}[/tex]

we have

A=[tex]49\pi \ in^2[/tex]

substitute

[tex]49\pi=\pi r^2[/tex]

solve for r

Simplify

[tex]r^2=49\\r=7\ in[/tex]