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?

Respuesta :

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.

1,257 cm³

if this is correct can i get brainiest