Question 1

Two cylinders are similar. The volume of one is 27 cm3, and the volume of the other is 1331 cm3. Find the scale factor between them. Enter the smaller number first. scale factor = [?]:[] Enter

Question 2

The relationship between the two cylinders involves the volume factor

$\begin{gathered} \text{volume factor=(scale factor)}^3 \\ \text{therefore, } \\ \text{scale factor=}\sqrt[3]{volume\text{ factor}} \end{gathered}$
$\begin{gathered} \text{volume factor=}\frac{smaller\text{ volume}}{larger\text{ volume}} \\ \text{volume factor=}\frac{27\operatorname{cm}^3}{1331\operatorname{cm}}^{} \end{gathered}$

Therefore,

$\begin{gathered} \text{scale factor=}\sqrt[3]{\frac{27\operatorname{cm}}{1331\operatorname{cm}^3}} \\ \text{Scale factor}=(3)/(11) \\ \text{Therefore , the scale factor} \\ =3\colon11 \end{gathered}$

Hence ,

The scale factor = 3:11

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