The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Balls inequality was first provided, then the result of Ball was generalized from John-basis to a sequence of non-zero vectors which are full rank. Furthermore, the upper bound for the volumes of zonotopes was given. Finally the inequalities were deduced for the inradius and circumradius of a certain zonotope.