kimo7elloope
contestada

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

Respuesta :

The ratio of the volume of Cone A to the volume of Cone is 64 : 1. The correct answer between all the choices given is the first choice. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

TaeKwonDoIsDead

Answer:

64:1


Step-by-step explanation:

For similar lengths, we use the relationship  [tex]A=kB[/tex] 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  [tex]A=k^3B[/tex] 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:

[tex]16=k(4)\\k=\frac{16}{4}=4[/tex]


The 2nd formula also tells us that volumes are [tex]k^3[/tex] of each other. So

[tex]k^3=(4)^3=64[/tex]

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