there is a cup with 75ml of orange juice. A marble was dropped into the cup and the level of the juice rose to 90 ml. Why did this happen? Find the volume of the marble. Use math and show/label all work.

what is 387 rounded to nearest 10?

We will be happy to critique your thinking on this. What is more interesting is what happened to the weight of the marble.

There is a law is physics called the law of impenetrability. In its simplest terms, it says that two objects can't occupy the same space at the same time. In reference to the orange juice and marble, both juice and marble can't occupy the same space at the same time. So if the OJ occupied 75 mL without the marble and it occupied 90 mL with the marble, it should be obvious that the marble took up 15 mL of space so that is the volume of the marble. You will want to draw a diagram showing the glass, the OJ at 75 mL, the marble separately, the volume of OJ AND marble, etc. You can make a very interesting series of drawings to show what you want to show. Good luck.

To understand why the level of the juice rose when a marble was dropped into the cup, we need to consider the principles of fluid displacement. When an object is submerged in a fluid, it displaces an amount of fluid equal to its own volume. In this case, the marble displaced some orange juice, causing the level to rise.

To find the volume of the marble, we can subtract the original volume of the orange juice from the volume after the marble was added.

Given:
Initial volume of orange juice (before adding marble) = 75 ml
Final volume of orange juice (after adding marble) = 90 ml

To find the volume of the marble, we can use the equation:

Volume of marble = Final volume - Initial volume

Substituting the given values:

Volume of marble = 90 ml - 75 ml
Volume of marble = 15 ml

Therefore, the volume of the marble is 15 ml.