Considering the volume of the cylinder, it is found that the height must be decreased by 18.51%.
<h3>What is the volume of a cylinder?</h3>
The volume of a cylinder of diameter d is given by:
![V = 0.25\pi d^2h](https://tex.z-dn.net/?f=V%20%3D%200.25%5Cpi%20d%5E2h)
In this problem, the diameter will be increased by 25%, hence d = 1.25d, and the volume will be of:
![V = 0.25\pi d^2h](https://tex.z-dn.net/?f=V%20%3D%200.25%5Cpi%20d%5E2h)
![V = 0.25\pi (1.25d)^2h](https://tex.z-dn.net/?f=V%20%3D%200.25%5Cpi%20%281.25d%29%5E2h)
V = 0.390625 πd²h
Solving for the height, we have that:
h = V/0.390625 πd²
h = 0.8149 of the original, hence the height must be decreased by 18.51%.
More can be learned about the volume of a cylinder at brainly.com/question/9408912
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Answer:
Amount of chemical solution = 18 gallon
Amount of pure water = 22 gallon
Step-by-step explanation:
Assume;
20% of solution = x
So,
Amount of pure water = 40 gallons - x
Amount of pure water = 40 - x
Computation:
20% of x = 9% of 40 gallon
0.2 x = 3.6
x = 3.6 / 0.2
x = 18 gallon
So,
Amount of chemical solution = 18 gallon
Amount of pure water = Total solution - Amount of chemical solution
Amount of pure water = 40 -18
Amount of pure water = 22 gallon
Answer: GCF = 5 LCM = 30
<u>Step-by-step explanation:</u>
GCF is the biggest factor they have in common.
LCM is the smallest multiple they have in common. This can be found by multiplying the GCF by the leftover values.
10 15
∧ ∧
<u>2</u> · 5 <u>3</u> · 5
GCF: 5
LCM: 5 · <u>2</u> · <u>3</u> = 30
Answer:
y = 7
Step-by-step explanation:
(5) + y = 12
12 - 5 = 7
Step by step explanation
Lets first find the z-score for 90 in this normal distribution:
![z=\frac{90-77.7}{12.1}\approx1.0165](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B90-77.7%7D%7B12.1%7D%5Capprox1.0165)
Reviewing the table, for this value we have:
![P(x>90)=0.1547](https://tex.z-dn.net/?f=P%28x%3E90%29%3D0.1547)
Answer
The probability that a person scored above 90 is 0.1547, that is 15.47%