Answer:
Step-by-step explanation:
rate of leaking water = 9500 cm³/min
height of tank, H = 6 m = 600 cm
diameter of tank, = 4 m
radius of tank, R = 2 m = 200 cm
dh/dt = 20 cm/min
at any time, h = 2 m Let at that time radius of the tank is r.
According to the diagram
R / H = r / h
200 / 600 = r / h
r = h/3
The volume of tank is given by
![V = \frac{1}{3}\pi\times r^{2}h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%20r%5E%7B2%7Dh)
![V = \frac{1}{27}\pi\times h^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B27%7D%5Cpi%5Ctimes%20h%5E%7B3%7D)
Differentiate with respect to t
![\frac{dV}{dt} = \frac{1}{9}\pi\times h^{2} \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B9%7D%5Cpi%5Ctimes%20h%5E%7B2%7D%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dV}{dt} = \frac{\pi}{9}\times 200^{2}\times 20](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%5Ctimes%20200%5E%7B2%7D%5Ctimes%2020)
dV/dt = 279111.11 cm³/min
This is the volume of water increasing per minute in the tank.
Let C be the rate of volume of water pumped into the tank.
So, C = 279111.11 + 9500
C = 288611.11 cm³/min
A number can either be composite or prime. The only prime number that you listed here is 2, because the only factors of 2 are 1 and itself.
Macbeth, right? So that is "double, double, toil and trouble, fire burn, and cauldron bubble"?
Answer:
To solve this problem, we just have to multiply.
(A) The event: woman in the blue class room is related to 60% of women representation and 30% of students representation in the blue classroom.
Therefore, the chances of choosing a woman student from the blue classroom is
![P= 0.60 \times 0.30 = 0.18](https://tex.z-dn.net/?f=P%3D%200.60%20%5Ctimes%200.30%20%3D%200.18)
Which is equivalent to 18% of probability.
<h3>(B) </h3>
We apply the same process to find the probability of choosing a man from the black classroom.
![P= 0.40 \times 0.20 = 0.08](https://tex.z-dn.net/?f=P%3D%200.40%20%5Ctimes%200.20%20%3D%200.08)
Which is equivalent to 8% of probability.
<h3>Therefore, there's a 18% of chances of choosing a woman from the blue classroom, and there's a 8% of changes of chossing a man from the black classroom.</h3>