Seth has two similar ice-cream cones, cone a and cone b. the slant height of cone a is 16 inches, and the slant height of cone b is 4 inches. what is the ratio of the volume of cone a to the volume of cone b?
64 : 1
8 : 1
4 : 1
16 : 1

64:1

Step-by-step explanation:

For similar lengths, we use the relationship   where A and B are the measurements of the two figures' lengths and k is the scale factor.

For similar volumes, we use the relationship  where A and B are the measurements of the two figures' volumes and k is the scale factor.

Since lengths are given, we use the first formula to find k:

The 2nd formula also tells us that volumes are of each other. So

That means the larger cone has a volume that is 64 times the smaller. So the ratio is 64:1

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.