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Sagot :
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus [tex]r = 0.44[/tex].
- Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus [tex]h = 2.67[/tex]
- 14 poles, thus the volume is multiplied by 14.
Then:
[tex]V = 14\pi(0.44)^2(2.67) = 23.17[/tex]
23.17 cubic yards of concrete are needed, option D.
A similar problem is given at https://brainly.com/question/22789697
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