Answer:
![r=\sqrt{10}\text{ m}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B10%7D%5Ctext%7B%20m%7D)
Step-by-step explanation:
We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.
We will use volume of cylinder formula to solve our given problem as:
, where,
r = Radius,
h = Height of cylinder.
Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be
meters at
.
Upon substituting these values in above formula, we will get:
![22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})](https://tex.z-dn.net/?f=22%5Ctext%7B%20m%7D%5E3%3D%5Cfrac%7B22%7D%7B7%7D%5Ccdot%20r%5E2%280.7%5Ctext%7B%20m%7D%29)
![22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}](https://tex.z-dn.net/?f=22%5Ctext%7B%20m%7D%5E3%3D%5Cfrac%7B22%7D%7B10%7D%5Ccdot%20r%5E2%5Ctext%7B%20m%7D)
![\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B22%7D%5Ccdot%5Cfrac%7B22%5Ctext%7B%20m%7D%5E3%7D%7B%5Ctext%7Bm%7D%7D%3Dr%5E2)
![r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7B10%7D%7B22%7D%5Ccdot%5Cfrac%7B22%5Ctext%7B%20m%7D%5E3%7D%7B%5Ctext%7Bm%7D%7D)
![r^2=10\text{ m}^2](https://tex.z-dn.net/?f=r%5E2%3D10%5Ctext%7B%20m%7D%5E2)
Now, we will take positive square root of both sides as radius cannot be negative.
![\sqrt{r^2}=\sqrt{10\text{ m}^2}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B10%5Ctext%7B%20m%7D%5E2%7D)
![r=\sqrt{10}\text{ m}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B10%7D%5Ctext%7B%20m%7D)
Therefore, radius of tank would be approximately square root of 10 m.
Answer is -pi
Let x be this unknown number. Adding on x to pi gets us the expression x+pi
If we set x+pi equal to zero (which is a rational number) and solve for x, we get
x+pi = 0
x+pi - pi = 0 - pi
x = -pi
so adding pi to -pi will lead to 0 since
x+pi = -pi+pi = 0
Answer:
The value of x = 100 ft^3/ day
Step-by-step explanation:
We need to look at what amount of water comes in and what amount of water leaves
What comes in: x ft^3/ day
What leaves : 500x ft^3/ day
We start with 146 000 ft^3
Water in tank = what we start with + what comes in - what leaves
water in tank = 146000 + x*d - 500*d where d is the number of days
After 365 days , the tank has 0 ft^3 of water
0 = 146000 + x*365 - 500*365
Multiply
0 = 146000 + 365x - 182500
Combine like terms
0 = -36500+365x
Add 36500 to each side
36500 = 36500-36500+365x
36500 = 365x
Divide by 365
36500/365 = 365x/365
100=x
The value of x = 100
21 fewer stars than three times a number h
21 - (3 x h)
There would be 180 blue jeans. If you need any question how I got that answer, ask me.. :)