Sergio has two similar cylindrical pots, pot a and pot b. the radius of pot a is 12 inches and the radius of pot b is 3 inches. what is the ratio of the volume of pot a to the volume of pot b

Pot A volume: 12 ^3 = 1728

Pot B Volume: 3^3 = 27

1728 /27 = 64

 ratio should be 64:1

64 to 1

Step-by-step explanation:

First we find the ratio of the radius of pot A to the radius of pot B:

12/3 = 4/1

A radius is a one-dimensional measurement.  Volume is a three-dimensional measurement; this means the ratio of the volumes would be the ratio of the radii cubed:

(4/1)³ = 4³/1³ = 64/1