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Alexus [3.1K]
3 years ago
10

Cubic yards of concrete will be required for 14 parking lot light pole standards

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

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:

V = \pi r^2h

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 r = 0.44.
  • Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus h = 2.67
  • 14 poles, thus the volume is multiplied by 14.

Then:

V = 14\pi(0.44)^2(2.67) = 23.17

23.17 cubic yards of concrete are needed, option D.

A similar problem is given at brainly.com/question/22789697

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