Question

If surface of two circle is 1:4 then what is the ratio of their volume

Answer 1

Answer:

Although the answers below all work, there is an easy, faster shortcut

If two objects are similar, their areas and side lengths have a special relationship, specifically, A∝r2

Since all circles are similar, we can apply this property to the problem

A∝r2

A4A=(RxR)2

14−−√=1x

12=1x

x=2

So it is a 1 to 2 ratio