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:
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
.
- Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus
- 14 poles, thus the volume is multiplied by 14.
Then:
23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697