Question

The ratio of the volume of Cylinder A to the volume of Cylinder B is 1:5. Cylinder A is similar to Cylinder C with a scale factor of 1:2 and Cylinder B is similar to Cylinder D with a scale factor of 1:3. What is the ratio of the volume of Cylinder C to the volume of Cylinder D?

Answer 1

the radii are in the ratios of

A/C = 1/2
B/D = 1/3

so the volumes are in the ratio of

A/B = 1/5
A/C = 1/8
B/D = 1/27

So, we want C/D.

C/D = A/B * B/D * C/A
= 1/5 * 1/27 * 8/1 = 8/135