Question 831408
1.  The volume of the can (assumed cylindrical) is given by the formula:
    V = PI (r^2) h where r is the radius of the base and h is the height

2.  Since the height is equal to the diameter of the base (i.e. 2r), we can modify
    the formula to read:
    V = PI (r^2)2r = 2PI (r^3)

3.  We are told that the volume of the can is 54PI cubic centimeters, so we can put:
    54PI = 2PI (r^3)

4.  From the above, 27 = (r^3), so r = 3

5.  The diameter of the base is therefore 6, which is the same as the height