Question

URGENT NEED OF HELP ASAP WORTH 100pts PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A chef has two dozen meatballs to add to a pot of sauce. Each meatball has a two-inch diameter. Before the meatballs are added, the sauce is 2 inches from the top of the 14-inch diameter pot. Will the sauce spill over when the chef adds the meatballs to the pot? Show all of your work to justify your answer.

Answer 1

Answer: The sauce will not spill over

Explanation:

Volume of empty space in the pot:

`\pi`r² * h =
`\pi` * (14/2)² * 2 = 98
`\pi` (in³)

Total volume of meatball that will be added:

24 meatballs; each 2 inch diameter >>> 1 inch radius

each meatball has 4/3
`\pi`r³ volume = 4/3
`\pi` in³

Total meatball volume = 24 * 4/3
`\pi` in³ = 32
`\pi` in³

there will be 66
`\pi` in³ left even after adding the meatballs in the pot.

The sauce will not spill over