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
4,712 cm³
1,885 cm³
1,885 cm³
943 cm³
943 cm³
1,257 cm³
To find the volume of the broth used, we need to calculate the volume of the can when it was full and then subtract the volume of the can when there is 6 cm of broth left.
Volume of full can = π(10 cm)^2 * 10 cm
Volume of full can = 3.14 * 100 cm^2 * 10 cm
Volume of full can = 3,140 cm³
Volume of can with 6 cm of broth left = π(10 cm)^2 * 6 cm
Volume of can with 6 cm of broth left = 3.14 * 100 cm^2 * 6 cm
Volume of can with 6 cm of broth left = 1,884 cm³
Volume of broth used = Volume of full can - Volume of can with 6 cm of broth left
Volume of broth used = 3,140 cm³ - 1,884 cm³
Volume of broth used = 1,256 cm³
Therefore, Mishka used approximately 1,256 cm³ of broth. The closest option is 1,257 cm³.