To solve this problem it is necessary to apply the concepts related to the geometry of a cylindrical tank and its respective definition.
The volume of a tank is given by
![V = \frac{\pi d^2}{4}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7Dh)
Where
d = Diameter
h = Height
Considering that there are two stages, let's define the initial and final volume as,
![V_0 = \frac{\pi d^2}{4}H](https://tex.z-dn.net/?f=V_0%20%3D%20%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7DH)
![V_f = \frac{\pi d^2}{4}h](https://tex.z-dn.net/?f=V_f%20%3D%20%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7Dh)
We know as well by definition that
![1gal = 3.785*10^{-3}m^3](https://tex.z-dn.net/?f=1gal%20%3D%203.785%2A10%5E%7B-3%7Dm%5E3)
Then we have for the statement that
![V_f = V_0 -1gal](https://tex.z-dn.net/?f=V_f%20%3D%20V_0%20-1gal)
![V_f = V_0 - 3.785*10^{-3}](https://tex.z-dn.net/?f=V_f%20%3D%20V_0%20-%203.785%2A10%5E%7B-3%7D)
Replacing the previous data
![\frac{\pi d^2}{4}h = \frac{\pi d^2}{4}H- 3.785*10^{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7Dh%20%3D%20%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7DH-%203.785%2A10%5E%7B-3%7D)
![\frac{\pi (3.6)^2}{4}h = \frac{\pi (3.6)^2}{4}(2)- 3.785*10^{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%283.6%29%5E2%7D%7B4%7Dh%20%3D%20%5Cfrac%7B%5Cpi%20%283.6%29%5E2%7D%7B4%7D%282%29-%203.785%2A10%5E%7B-3%7D)
Solving to get h,
![h = 1.99963m](https://tex.z-dn.net/?f=h%20%3D%201.99963m)
Therefore the change is
![\Delta h = H-h](https://tex.z-dn.net/?f=%5CDelta%20h%20%3D%20H-h)
![\Delta h = 2- 1.99963](https://tex.z-dn.net/?f=%5CDelta%20h%20%3D%202-%201.99963)
![\Delta h = 3.7*10^{-4}m=0.37mm](https://tex.z-dn.net/?f=%5CDelta%20h%20%3D%203.7%2A10%5E%7B-4%7Dm%3D0.37mm)
Therefore te change in the height of the water in the tank is 0.37mm
Explanation:
it can be used to show how the parts of the cycle relate to one another
Answer:
(a) B = 5.6 micro Tesla
Explanation:
Current in the wire, i = 140 A
distance, r = 5 m
The formula for the magnetic field at a distance r due to the current carrying wire
![B=\frac{\mu _{0}}{4\pi }\times \frac{2i}{r}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Cmu%20_%7B0%7D%7D%7B4%5Cpi%20%7D%5Ctimes%20%5Cfrac%7B2i%7D%7Br%7D)
![B=10^{-7}\times \frac{2\times140}{5}](https://tex.z-dn.net/?f=B%3D10%5E%7B-7%7D%5Ctimes%20%5Cfrac%7B2%5Ctimes140%7D%7B5%7D)
B = 5.6 x 10^-6 Tesla
B = 5.6 micro Tesla
(b) As the magnetic field of earth at this site is 20 micro tesla so the magnetic field due to current carrying wire interfere the magnetic compass.
Answer:
The Nucleus
Explanation:
Protons and Neutrons are found in the nucleus of an atom.
Answer:
800 mL
Explanation:
D*V=M
You pick out the numbers as well as what it is they represent from the word problem/explanation, then from there plug them in to the equations. Once you do that, you get your product and have the answer.
10*80= 800