Height of the cylindrical pressure vessel = 9 feet
Diameter of the cylindrical pressure vessel = 6 feet
Then
Radius of the cylindrical pressure vessel = (6/2) feet
= 3 feet
Then
Volume of the cylindrical pressure vessel = <span>π<span>r^2</span></span><span>h</span>
= 3.14 * (3)^2 * 9 cubic feet
= 3.14 * 9 * 9 cubic feet
= 254.34 cubic feet
So the amount of gas that the cylindrical pressure vessel can hold is 254.34 cubic feet. I hope the procedure is clear enough for you to understand.
Answer:
This equation has no real roots
Step-by-step explanation:
We want to solve

We group all terms on the left:


Divide through by -6

The discriminant is

This means the given equation has no real solution, since the discriminant is less than 0
Using the binomial distribution, it is found that there is a 0.25 = 25% probability he will land on A on the first spin and A and the second.
For each spin, there are only two possible outcomes, either it lands on Sector A, or it does not. The results of each spin are independent, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- The sectors are equal, which means that it is equally as likely to land on each, hence
.
- Saul will spin the wheel twice, hence
.
The probability that both land on A is P(X = 2), hence:


0.25 = 25% probability he will land on A on the first spin and A and the second.
You can learn more about the binomial distribution at brainly.com/question/24863377