If two similar cones have volumes of 320cm^3 and 1,080cm^3, find the scale factor.

1 answer:

3 0

The ratio of the volumes is equal to the scale factor cubed.

$\frac{V_1}{V_2}=k^3 \\ \\
\frac{320 \ cm^3}{1080 \ cm^3}=k^3 \\
\frac{8}{27}=k^3 \\
k=\sqrt[3]{\frac{8}{27}} \\
\boxed{k=\frac{2}{3}} \Leftarrow \hbox{answer B}$

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