You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?

Answer:3.706 litersStep-by-step explanation:Helloassuming 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[tex]V=\pi r^{2} h[/tex]where r is the radius of the base, and h the heightalsoDiameter=2rr=Diameter/2Step 1leth=8 inbase = diameter = 6 inchr=diameter/2r=6/2 inch,r=3 inchStep 2Put the values into the equation[tex]V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\[/tex]Step 3Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing1 inch = 2.54 cm1 litro =  1000 cubic centimeters[tex]if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}[/tex]1 cubic inch = 16.3870 cubic centimeters[tex]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[/tex]Step 4Finally, convert cubic centimeters into liters[tex]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[/tex] I can put 3.706 liters in the thermosHave a good day