I really need help with this. Please. A chef has two dozen meatballs to add to a pot of sauce. Each meatball has a two

Question

I really need help with this. Please.

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.

giabao · Answer

The  sauce  will spill over if the  volume  of the pot is less than  146π in ³ and it will not spill over if the  volume  of the pot is more than  146π in ³.     Volume of the sauce in the pot   The  volume  of  sauce  in the pot is calculated as follows;  V = πr²h  V = π x (7)² x (2)  V = 98π in³  Volume of the two dozen meatballs  Area of 1 meatball = πr² = π x (1)² = π in²  Area of the 2 dozen = (2 x 12) x A                                          = 24 x π in² = 24π in²  the height of each meatball = 2 in,    Volume  of the 2 dozens = 2 in x 24π in² = 48π in³    Total  volume  of the  meatball  and  sauce  in the pot = 98π + 48π = 146π in³    Thus, the  sauce  will spill over if the  volume  of the pot is less than  146π in ³ and it will not spill over if the  volume  of the pot is more than  146π in ³.    Learn more about  volume  here: https://brainly.com/question/1972490  #SPJ1

danthu · Answer

Given the  volume  of the space in the  pot  and the  volume o f the  meatballs,  the  sauce will not spill over.         Will the sauce spill over?    The first step is to determine the volume of the remaining space that the sauce is yet to fill. A  pot  usually has the shape of a  cylinder,  so the formula for the  volume  of a  cylinder  would be used.      Volume  of a  cylinder  = πr²h  π x (14/2)³ x 2 = 98 in³    The second step is to determine the  volume  of the two dozen  meatballs.     Volume  of a  sphere  = 4/3πr³  24 x (4/3 x π x (2/2)³) = 32π in³    To learn more about the  volume of a sphere,  please check: https://brainly.com/question/13705125  #SPJ1

Volume of the sauce in the pot

Volume of the two dozen meatballs

Will the sauce spill over?

Leave a Comment Cancel reply

circle 1, circle 2, and circle 3 have the same center and have radii, respectively, of r1 cm, r2 cm, r3 cm, where r1 < r2 <

n alternating series is a =select= whose terms are =select= . (b) under what conditions does an alternating series converg