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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
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario and
.
Therefore, offices can be filled in 11,880 different ways.