The figures below are similar.
What is the volume of the smaller cone?
The following proportion applies to similar solids:
where is the ratio of the corresponding dimensions, and is the ratio of the volumes.
Find the cube of the ratio of the corresponding dimensions:
Find the ratio of the volumes:
Use these two ratios to set up a proportion and solve for
V1.

= 




= 

Find the cross products 

64,000 
= 

Simplify 


= 

Divide both sides by 125 

512 
= 


The volume of the smaller cone is 512 cubic metres.