Answer:
[tex]r=\sqrt{815.61}[/tex] inch
Step-by-step explanation:
Volume of the cylinder= 2561 cubic inches
Height=1 inch
Radius=?
Volume of the cylinder [tex]=\pi *r^2*h[/tex]
Putting the values in the formula:
[tex]2561=3.14*r^2*1[/tex]
[tex]2561=3.14*r^2\\[/tex]
Dividing 3.14 both sides
[tex]2561/3.14=r^2\\\\r^2=815.61[/tex]
[tex]r=\sqrt{815.61}[/tex]
So, radius 'r' is [tex]r=\sqrt{815.61}[/tex] inch