212k views
5 votes
an irregularly shaped object has a density of 4.28 g/ml. if a sample of the object weighing 47.9 g is dropped into a graduated cylinder containing 20.00 ml of water, what will be the new water level? (10 pts)

User Gunther
by
8.3k points

1 Answer

2 votes

Answer: 31.19 ml.

Step-by-step explanation:

To solve this problem, we need to use the concept of displacement. When the object is dropped into the graduated cylinder, it will displace some of the water, causing the water level to rise. The amount of water displaced will be equal to the volume of the object.

We can use the formula:

Volume of object = Mass of object / Density of object

First, we can find the volume of the object:

Volume of object = 47.9 g / 4.28 g/ml = 11.19 ml

This means that the object will displace 11.19 ml of water when it is dropped into the graduated cylinder.

The new water level will be the initial water level (20.00 ml) plus the volume of the object (11.19 ml):

New water level = 20.00 ml + 11.19 ml = 31.19 ml

Therefore, the new water level will be 31.19 ml.

User Janeen
by
7.5k points