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dsp73
3 years ago
10

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

Mathematics
1 answer:
Alexeev081 [22]3 years ago
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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The correct match of each tile of the equation with its solution is:

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<h3>How do we match each tile to the correct box?</h3>

To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.

From the image attached below;

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n - 13 = - 12

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