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Two cylinders are similar. The volume of one is 64 cm^3, and the volume of the other is 729 cm^3. Find the scale factor between them.

Two cylinders are similar. The volume of one is 64 cm^3, and the volume of the other-example-1
User Hrk
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2 Answers

6 votes

Answer:

4 : 9

Explanation:


(s)/(s) =\frac{\sqrt[3]{64} }{\sqrt[3]{729} } = (4)/(9) = 4 : 9

Two cylinders are similar. The volume of one is 64 cm^3, and the volume of the other-example-1
User Alanda
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3 votes

Given:

Two cylinders are similar. The volume of one is 64 cm³ and the volume of the other is 729 cm³.

We need to determine the scale factor between them.

Scale factor:

Since, it is given that the volume of two cylinders, we need to take cube root.

Thus, we have;


Scale \ factor=64:729

Taking cube root, we get;


Scale \ factor=\sqrt[3]{64} :\sqrt[3]{729}

Simplifying, we have;


Scale \ factor=4:9

Thus, the scale factor between the two cylinders is 4 : 9

User Sanjeev Rao
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