URGENT PLEASE HELP!!! WILL FAN AND MEDAL!!!

Question

anonymous · Answer

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?

anonymous · Answer

A) 10:1
B) 25:1
C) 125:1
D) 5:1

anonymous · Answer

My answer was B but im not sure

anonymous · Answer

@ditzzzz @whpalmer4

anonymous · Answer

@ineedhelpnow08 @Dnicholas

anonymous · Answer

The answer is C. These are two similar pots. a/b = scale factor, a^2/b^2 is the ratio of two similar obects' surface areas and finally a^3/b^3 is the ratio of the two similar figures' volumes. First you need the scale factor 2which will be 15/3 = 5/1. Once you have that all you have to do is make 5/1, 5^3/5^1 to find the ratio of their volumes. This in turn equals 125/1 which is answer c. Hope this helped.

anonymous · Answer

thanks

anonymous · Answer

no problem

anonymous · Answer

125 : 1 
==========

If two solids are similar, then the cube of their scale factor is the ratio of their volumes.
The scale factor from A to B is 15/3 or 5/1.
(5/1)^3 = Vol A/ Vol B
125 / 1 =  Vol A/ Vol B