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whether the given pair of solids is similar or not
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Answer to Problem 7PPS
The given solids are not similar.
Explanation of Solution
Given:
Calculation:
In the first cone the height of the cone is 12 m and the radius of the cone is 8 m.
In the second cone the height of the cone is 12 m and the radius of the cone is 4 m.
The objective is to check whether the two figure are similar or not.
Two solid figures are similar if they have the same shape and their corresponding linear measurements are proportional.
In the given figure both are cones, so the solids are of same shape. Now check that whether the corresponding linear measurements are proportional or not.
Suppose the corresponding linear measurements are proportional, so
Since the result obtained is false, so the corresponding linear measurements of the given solids are not proportional.
Conclusion:
Therefore, the given solids are not similar.
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