If two similar cones have volumes of 320cm^3 and 1,080cm^3, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8

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08-03-2015
Mathematics

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If two similar cones have volumes of 320cm^3 and 1,080cm^3, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8

Sagot :

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naǫ naǫ · Answer 1 · 2015-03-08T11:03:47-04:00

naǫ naǫ

08-03-2015

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

[tex]\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}[/tex]

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