There are eight runners in the 100-meter dash. In how many ways can the runners finish in first, second, and third place?
2 answers:
Answer: 336
Step-by-step explanation:
Given : The total number of runners = 8
The number of positions = 3
Since for awarding prize, the order of winners matters.
So by permutations ,the number of possible ways to award 3 prizes will be
Therefore , the total number of ways by which runners finish in first, second, and third place is 336.
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<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.