A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3

Question

3 years ago

5

A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3

cm, that take up 25% of the volume.
How many meatballs are in the can?

Use 3.14 to approximate pi and express your answer as a whole number.

Mathematics

1 answer:

Nostrana [21] · Answer 1 · 2022-04-26T06:02:31+03:00

Hey there, the radius of the can is 1/2 of 12 cm=6 cm, the volume of the can is pi r^2h=Pi 6^{2}16=1809.5573cm3, Now, the volume of the meatball is 4/3 pi r^{3}=4/3 pi 3^{3}=113.09734, Then, 25% of the can=1809.5573/4=452.389325, The meatballs in area=25% of can over volume of meatballs=452.389325/113.09734=4 meatballs, Therefore, the answer is 4 meatballs.