Question

The ratio of the Areas of the bases of these cones is 9 to 4.

Answer 1

Answer:

Step-by-step explanation:

This is something you learn in Geometry.  Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area.  You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

$\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}$

The one-to-one is 3:2.  To get to the volume now, cube those one-to-one values:

$\frac{3^3}{2^3}=\frac{27}{8}$