we have that
volume larger cone=64*pi unit³
volume smaller cone=8*pi unit³
we know that
volume larger cone=[scale factor]³*volume smaller cone
[scale factor]³=volume larger cone/volume smaller cone
[scale factor]³=64*pi/(8*pi)-----> 8
[scale factor]=∛8------> [scale factor]=2
Find the ratios of the radio
[radio larger cone/radio smaller cone] is equal to the scale factor
so
[radio larger cone/radio smaller cone]=2
or
[radio smaller cone/radio larger cone]=1/2