The water level increases by 0.608 meters per minute when the water is 3.5 m deep
<h3>How to determine the rate?</h3>
The given parameters are:
- Radius, r = 3
- Height, h = 7
- Rate in, V' = 4.3m^3/min
The relationship between the radius and height is:
r/h = 3/7
Make r the subject
r = 3h/7
The volume of a cone is;
![V = \frac 13\pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%2013%5Cpi%20r%5E2h)
This gives
![V = \frac 13\pi (\frac{3h}{7})^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%2013%5Cpi%20%28%5Cfrac%7B3h%7D%7B7%7D%29%5E2h)
Expand
![V = \frac{3h^3}{49}\pi](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B3h%5E3%7D%7B49%7D%5Cpi)
Differentiate
![V' = \frac{9h^2}{49}\pi h'](https://tex.z-dn.net/?f=V%27%20%3D%20%5Cfrac%7B9h%5E2%7D%7B49%7D%5Cpi%20h%27)
Make h' the subject
![h' = \frac{49}{9\pi h^2}V'](https://tex.z-dn.net/?f=h%27%20%3D%20%5Cfrac%7B49%7D%7B9%5Cpi%20h%5E2%7DV%27)
When the water level is 3.5.
We have:
![h' = \frac{49}{9\pi * 3.5^2}V'](https://tex.z-dn.net/?f=h%27%20%3D%20%5Cfrac%7B49%7D%7B9%5Cpi%20%2A%203.5%5E2%7DV%27)
Also, we have:
V' = 4.3
So, the equation becomes
![h' = \frac{49}{9\pi * 3.5^2} * 4.3](https://tex.z-dn.net/?f=h%27%20%3D%20%5Cfrac%7B49%7D%7B9%5Cpi%20%2A%203.5%5E2%7D%20%2A%204.3)
Evaluate the products
![h' = \frac{210.7}{346.36}](https://tex.z-dn.net/?f=h%27%20%3D%20%5Cfrac%7B210.7%7D%7B346.36%7D)
Evaluate the quotient
h' = 0.608
Hence, the water level increases by 0.608 meters per minute
Read more about volumes at:
brainly.com/question/10373132
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Answer:
I think its a) I only
Step-by-step explanation:
b gives a random value that isn't relevant to the question. C is backwards because F would increase more than C.
Answer:
60
Step-by-step explanation:
360/6=60
Answer:
REQUIRED TEST STATICS IS 35.19
Step-by-step explanation:
total size of sample = 10,000
men women
voted 2777 3466
did not vote 1444 2313
By chi square test we can find the relationship between gender and participation in the election
<em>
</em>
where
a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000
Putting values to get chis square statics
<em>
</em>
<em>
</em>
HENCE REQUIRED TEST STATICS IS 35.19