The volume of the water in the graduated cylinder rose as some of the water was displaced by the table tennis ball. Find the volume of the ball using the formula Vb = Vf – Vi where Vb is the volume of the ball, Vf is the final volume of the water, and Vi is the initial volume of the water. Record the volume of the ball in Table A of your Student Guide. What is the volume of the table tennis ball? cm3
Answers
This problem is based on the Archimedes' principle -
According to the law of Archimedes principle, when a body is completely or partially submerged in a fluid at rest is acted upon by an upward buoyant force whose magnitude is equal to the weight of the liquid displaced .
Here, mass of water displaced = density of water * volume of water displaced
=> mass of water displaced = (1 g/cm³) * (Vf - Vi)
where, Vf = final volume of the water
Vi = the initial volume of the water
As, mass of water of size of table tennis ball = mass of water displaced
=> density of water * volume of table tennis ball = mass of water displaced
=> 1 g/cm³ * volume of table tennis ball = (1 g/cm³) * (Vf - Vi)
=> volume of table tennis ball = (Vf - Vi)
=> Vb = (Vf - Vi)
If we consider the initial volume of water ,Vi = 15 cm³
Let after ball is submerged final volume of water ,Vf = 35 cm³
So, the volume of the table tennis ball = Vf - Vi
= (35 - 15) cm³
= 20 cm³
Answer:
40 cm3
Explanation:
the volume of the table tennis ball is 40 cm to the 3rd because of the formula you have to use for the volume.