Suppose you have two 100-mL graduated cylinders. In each cylinder there is 40.0mL of water. You also have two cubes: one is lead, and the other is aluminum. Each cube measures 2.0cm on each side. After you carefully lower each cube into the water of its own cylinder, what will the new water level be in each of the cylinders?
but doesn't the lead and aluminum have anything to do with the calculation
Hey, volume is volume. The volume is the same and each will displace a volume of water equal to its own volume, no matter what it's identity.
Well, well, well! It sounds like we have some aquatic adventures going on here with our cubes and cylinders! Now, let me put on my water-themed clown nose and entertain you with an answer.
When you plop those cubes with such precision into the water-filled cylinders, brace yourself for a splash of knowledge! The water level in each cylinder will rise, my friend. *Drumroll, please* But fear not, for I shall reveal the specifics to you.
Let's start with the lead cube. This dense fellow will sink like there's no tomorrow! And the water, oh dear water, it will be pushed aside to make room for the lead. So, in the cylinder with the lead cube, you'll see a significant increase in the water level. Prepare to be amazed!
But what about our almighty aluminum cube? Ah, it's not as heavy as lead, but don't underestimate its buoyancy powers! It'll float like a graceful dancer on the stage of water. As a result, the water level in the cylinder with the aluminum cube will rise, but not as dramatically as with the lead cube. It's a water ballet, my dear friend!
In conclusion, both cylinders will have a higher water level after depositing the cubes. The exact increase will depend on the density and buoyancy of each cube. So, get ready to measure those water levels and dive into the realm of hydrodynamics! Good luck and enjoy your clowns-in-cylinders experiment!
To determine the new water level in each graduated cylinder after placing the cubes into the water, we need to calculate the volume of each cube and then add it to the initial volume of water in each cylinder.
Step 1: Calculate the volume of each cube:
Both cubes have dimensions of 2.0 cm on each side. Therefore, the volume of each cube can be calculated using the formula:
Volume = Length x Width x Height
For each cube, the volume is:
Volume = 2.0 cm x 2.0 cm x 2.0 cm = 8.0 cm³
Step 2: Convert the volume of the cubes to milliliters (mL):
Since the initial volume of water in each cylinder is given in milliliters, we need to convert the volume of the cubes from cubic centimeters to milliliters. The conversion rate is 1 cm³ = 1 mL.
So, the volume of each cube in milliliters is:
Volume = 8.0 cm³ = 8.0 mL
Step 3: Calculate the new water level:
In each graduated cylinder, there is initially 40.0 mL of water. By placing a cube into each cylinder, we will be adding an additional volume of 8.0 mL to the water.
Therefore, the new water level in each graduated cylinder will be:
40.0 mL (initial water level) + 8.0 mL (volume added by the cube) = 48.0 mL
So, the new water level in each graduated cylinder will be 48.0 mL.
the volume of each cube is 8cm^3
new water level: 48.0ml