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If two cylinders are similar and the ratio between the lengths of their edges is 4:3 what is the ratio of their volumes

If two cylinders are similar and the ratio between the lengths of their edges is 4:3 what-example-1

2 Answers

3 votes

Answer:

64:27

Explanation:

5 votes
This is the concept of scale factors:
volume scale factor is given by:
volume scale factor=(linear scale factor)^3
given that the linear scale factor is given by the ratio 4:3 which can be written as 4/3
thus the volume scale factor will be:
(4/3)^3
=64/27
this can be written as 64:27
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