Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation
![V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h%5C%5CV%3D%5Cpi%20%283in%29%5E%7B2%7D%20%288%20in%29%5C%5CV%3D%5Cpi%20%2A72%20%5C%20in%5E%7B3%7D%20%5C%5C%5C%5CV%3D72%5Cpi%5C%20in%5E%7B3%7D%20%5C%5C%5C%5C)
Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters
![if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}](https://tex.z-dn.net/?f=if%5C%201%5C%20inch%5C%20%3D%202.54%5C%20cm%5C%5C%281%5C%20inch%29%5E%7B3%7D%20%3D%282.54%5C%20cm%29%5E%7B3%7D%5C%5C%5C%5C1%5C%20inch%5E%7B3%7D%3D16.3870%5C%20cm%5E%7B3%7D)
1 cubic inch = 16.3870 cubic centimeters
![1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters](https://tex.z-dn.net/?f=1%5C%20cubic%5C%20inch%5C%20%3D%2016.3870%5C%20cubic%5C%20centimeters%5C%5C%5C%5C%5C%5C72%5Cpi%20%3Dx%3F%5C%20cubic%5C%20centimeters%5C%5C%5C%5Cx%3D%5Cfrac%7B72%5Cpi%20%5Ccubic%20%5C%20inch%5C%20%5C%2A16.3870%20%7D%7B1%5C%20cubic%5C%20inch%7D%20%5C%5C%5C%5Cx%3D3706.65%5C%20cubic%5C%20centimeters)
Step 4
Finally, convert cubic centimeters into liters![1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters](https://tex.z-dn.net/?f=1000%5C%20cubic%5C%20centimeters%20%3D1%5C%20liter%20%5C%5C%5C%5C%5C%5C3706.65%5C%20cubic%5C%20centimeters%20%3D%20x%3F%5C%20liters%5C%20centimeters%5C%5C%5C%5Cx%3D%5Cfrac%7B3706.65%20%5Ccubic%20%5C%20centimeters%5C%20%5C%2A1%20liter%7D%7B1000%20cubic%20centimeters%7D%20%5C%5C%5C%5Cx%3D3706.65%5C%20cubic%5C%20centimeters%5C%5Cx%3D3.706%20Liters)
I can put 3.706 liters in the thermos
Have a good day
Answer:
Let's simplify step-by-step.
4x+1+17
Combine Like Terms:
=4x+1+17
=(4x)+(1+17)
=4x+18
Answer:
=4x+18
Answer:3y-3y=0
Step-by-step explanation: They are giving you a value for X that is 3y. You put that value in place of x. So, if x=12 and they want you to substitute for x-3y=0, you would have 12-3y=0....but the value of x in your question is 3y....so you replace the x in the equation with it's value...which is given to you as 3y....or in my example, 12.
Answer:
Identity property on multiplication
Step-by-step explanation:
If you multiply any number by 1, you will get the same number.
15 * 1 = 15 ; 25* 1 = 25