Ratio of a Cylinder’s Dimensions

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The ratio of the height of a regular cylindrical container to the radius of its base is approximately 4.3 to 3. If the radius of the base is 6 meters, what is the approximate height of the container, in meters?

Review: Ratio of a Cylinder's Dimensions


Explanation

We have a ratio with two parts, so we can write it as a fraction with units:



This ratio is constant throughout this question, so we can set one instance of the ratio equal to another:



We could cross-multiply and solve to find x, but we can also see that the denominator on the right is twice that of the left, so the numerator on the right must be twice that of the left, hence . The closest approximate choice is 9.

The correct answer is (C).


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