Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 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?

A 15:3
B 45:9
C 125.1
D 5:1

Question

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 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?

A 15:3
B 45:9
C 125.1
D 5:1

Babyplier · Answer

@mercury

Mercury · Answer

cubic ratios are the cubes of the corresponding linear ratios

in other words, the volume ratio is the cube of the radius ratio

so simply find the ratio between radius A : radius B then cube the result