Answer:
Basically, we are to determine the volume of that pyramid.
Right Regular Pyramid Volume = (Area of the Base * Height) ÷ 3
Volume = (202,500 * 66) ÷ 3
Volume = 4,455,000 cubic meters
By the way Wikipedia says that is the largest pyramid in the world.
Step-by-step explanation:
Answer:
The solutions are:
![b=0,\:b=4](https://tex.z-dn.net/?f=b%3D0%2C%5C%3Ab%3D4)
Step-by-step explanation:
Considering the expression
Solving the expression
![\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3b%5E3-2b%5E2-5%7D%3D%5Cfrac%7B2%7D%7Bb%5E3-2%7D)
![\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Afraction%5C%3Across%5C%3Amultiply%3A%5C%3Aif%5C%3A%7D%5Cfrac%7Ba%7D%7Bb%7D%3D%5Cfrac%7Bc%7D%7Bd%7D%5Cmathrm%7B%5C%3Athen%5C%3A%7Da%5Ccdot%20%5C%3Ad%3Db%5Ccdot%20%5C%3Ac)
![5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2](https://tex.z-dn.net/?f=5%5Cleft%28b%5E3-2%5Cright%29%3D%5Cleft%283b%5E3-2b%5E2-5%5Cright%29%5Ccdot%20%5C%3A2)
![5b^3-10=6b^3-4b^2-10](https://tex.z-dn.net/?f=5b%5E3-10%3D6b%5E3-4b%5E2-10)
![\mathrm{Switch\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSwitch%5C%3Asides%7D)
![6b^3-4b^2-10=5b^3-10](https://tex.z-dn.net/?f=6b%5E3-4b%5E2-10%3D5b%5E3-10)
![6b^3-4b^2-10+10=5b^3-10+10](https://tex.z-dn.net/?f=6b%5E3-4b%5E2-10%2B10%3D5b%5E3-10%2B10)
![6b^3-4b^2=5b^3](https://tex.z-dn.net/?f=6b%5E3-4b%5E2%3D5b%5E3)
![\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D5b%5E3%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![6b^3-4b^2-5b^3=5b^3-5b^3](https://tex.z-dn.net/?f=6b%5E3-4b%5E2-5b%5E3%3D5b%5E3-5b%5E3)
![b^3-4b^2=0](https://tex.z-dn.net/?f=b%5E3-4b%5E2%3D0)
![if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)](https://tex.z-dn.net/?f=if%5C%3A%5Cmathrm%20ab%3D0%5C%3A%5Cmathrm%7Bthen%7D%5C%3Aa%3D0%5C%3A%5Cmathrm%7Bor%7D%5C%3Ab%3D0%5C%3A%5Cleft%28%5Cmathrm%7Bor%5C%3Aboth%7D%5C%3Aa%3D0%5C%3A%5Cmathrm%7Band%7D%5C%3Ab%3D0%5Cright%29)
So,
![b=0,b=4](https://tex.z-dn.net/?f=b%3D0%2Cb%3D4)
Therefore, the solutions are:
![b=0,\:b=4](https://tex.z-dn.net/?f=b%3D0%2C%5C%3Ab%3D4)
I use an app called Socratic also it works very well!!
Answer:
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Step-by-step explanation:
5.3 minutes.
First, let's calculate the volume of the tank. That will be the area of the base multiplied by it's length. And since it's base is a circle, the area is pi*r^2. So:
V = l*pi*r^2
V = 3.5 * pi * (2.2/2)^2
V = 3.5 * pi * (1.1)^2
V = 3.5 * pi * 1.21
V = 4.235 * pi
V = 13.30464489
So the tank has a volume of about 13.3 ft^3. Now simply divide that volume
by the rate of incoming fluid. So
13.3 / 2.5 = 5.32
Rounding to 2 significant figures gives a time of 5.3 minutes.