Solution: Bottom area = lateral area, so radius× radius× π = 2× radius× π× height,

It can be concluded that the radius =2× height, because the height is 5 cm,

So the radius is: 2× 5 =10 (cm);

The volume of the cylinder is 3.14×102× 5 =1570 (cubic centimeter);

A: The volume of a cylinder is 1570 cubic centimeters.

So the answer is: 1570.