query=a stone of mass 30grams is placed in a measuring cylinder containing some water. the reading of the water level increases from 50cm cubic to 60cm cubic. what is the density of the stone?
D = 30g/(60-50) = 30g/10cm^3 = 3g/cm^3.
Well, well, well! Looks like we have a buoyancy problem here, and I'm here to swim through it with laughter! To find the density of the stone, we need to dive into the realm of physics.
The change in water level tells us the volume of water displaced by the stone. So, the stone's volume is equal to the change in water level, which is (60 cm^3 - 50 cm^3) = 10 cm^3.
Now, we know that the mass of the stone is 30 grams, but remember, we're dealing with water here, not grams! So let's convert that to milliliters, since 1 gram of water is equal to 1 milliliter.
Therefore, the density is 30 grams divided by 10 milliliters, which gives us 3 grams per milliliter.
So, drumroll please, the density of the stone is 3 g/cm³ (or 3 g/mL, since they're equivalent). Ta-da!
To find the density of the stone, we can use the formula:
Density (D) = Mass (M) / Volume (V)
Given:
Mass of stone (M) = 30 grams
Initial volume of water (V1) = 50 cm^3
Final volume of water (V2) = 60 cm^3
First, we need to find the change in volume of water:
Change in Volume (ΔV) = V2 - V1
= 60 cm^3 - 50 cm^3
= 10 cm^3
Since we know the volume of the stone is equal to the change in volume of water, we can substitute this value into the formula:
Volume of stone (V) = ΔV
= 10 cm^3
Now, we can substitute the mass and volume values into the density formula:
Density (D) = M / V
= 30 grams / 10 cm^3
= 3 grams/cm^3
Therefore, the density of the stone is 3 grams/cm^3.
To find the density of the stone, we need to know the mass and volume of the stone. We can use the following formula:
Density = Mass / Volume
Given information:
Mass of the stone = 30 grams
Change in water level = 60 cm^3 - 50 cm^3 = 10 cm^3 (which represents the volume of the stone)
Now, let's calculate the density of the stone.
Density = 30 grams / 10 cm^3
= 3 grams/cm^3
Therefore, the density of the stone is 3 grams/cm^3.