Concept explainers
To find: find the volume of pavilion.
Answer to Problem 17PPS
The volume of the pavilion is approximately
Explanation of Solution
Given:
The diameter of a soccer ball is 8.7 in.
The volume of the ball is
The diameter of the pavilion is 66 ft.
Calculation:
First convert feet into inches.
Use the fact that
Thus,
Two solid figures are similar if they have the same shape and their corresponding linear measurements are proportional.
Since both the figures are sphere and their corresponding linear measurements are proportional, so the spheres are similar.
The ratio of the diameter of ball to pavilion is
The scale factor is
Now, use the property that if two solids are similar with scale factor of
Thus,
Therefore, the volume of the pavilion is
Now, convert inches to feet.
Use the fact that
Thus,
Conclusion:
Therefore, the volume of the pavilion is approximately
Chapter 12 Solutions
Pre-Algebra Student Edition
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