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.

Question

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.

Approximately how much broth did Mishka use?

Use 3.14 for pi.

Responses

4,712 cm³

1,885 cm³

943 cm³

1,257 cm³

Answer 1

To find the volume of the broth originally in the can:
V = πr^2h = 3.14 * 10^2 * 10 = 3140 cm³

To find the volume of the broth remaining in the can after Mishka used some:
V_remaining = πr^2h_remaining = 3.14 * 10^2 * 6 = 1884 cm³

Therefore, the amount of broth Mishka used is:
3140 cm³ - 1884 cm³ = 1256 cm³

Approximately, Mishka used 1,256 cm³ of broth.

Among the given responses, the closest one is 1,257 cm³.