Question

Two cylinders are similar. The volume of one is 27 cm^3 and the volume of the other is 1331 cm^3. Find the scale factor between them.

Answer 1

3:11

Explanation:

Answer 2

Answer:
`scale\ factor=(3)/(11)`

Explanation:

We know that the volume of one of the cylinders is:

`V_1=27 cm^3`

And the volume of the other cylinder is:

`V_2=1,331 cm^3`

Then, by definition, the scale factor is:

`scale\ factor=\sqrt[3]{(V_1)/(V_2) }`

Therefore, substitute the volumes into the expression, we get that the scale factor betweeen these cylinders is:

`scale\ factor=\sqrt[3]{(27 cm^3)/(1,331 cm^3.) }\\\\scale\ factor=(3)/(11)`