A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka uses some of the broth to cook and now the broth left in the can is 6 cm high. How much broth did Mishka use?

For this case, we can model the can as a cylinder. The volume of the cylinder is given by: [tex]V = \pi * r ^ 2 * h[/tex]Where, r: cylinder radius h: cylinder height. The initial volume is given by: [tex]V1 = \pi * 10 ^ 2 * 10\\V1 = 1000 \pi[/tex]The final volume is given by: [tex]V2 = \pi * 10 ^ 2 * 6\\V2 = 600 \pi[/tex]Then the amount of broth used is: [tex]V1-V2 = 1000 \pi - 600 \pi\\V1-V2 = 400 \pi[/tex]Answer: Mishka used [tex]400 \pi\ cm ^ 3[/tex] of broth.