Question

if the scale factor of 2 similar cylinder is 4:7 what is the volume ratio? be sure to use the colon format as given above

Answer 1

Remember that

If two figures are similar, then the ratio of their volumes is equal to the scale factor elevated to the cubic

so

we have

the scale factor is 4/7

so

the volume ratio is equal to

$(\frac{4}{7})^3=\frac{4^3}{7^3}=\frac{64}{343}$

therefore

The answer is 64: 343