A measuring cylinder contains 50cm`3 of water.A stone has a mass of 1.75g.The stone is lowered into the cylinder, the level of the water rises to 52.5cm`3.Calculate the density of the stone
density = mass/volume = 1.75g/2.5cm^3
Well, isn't this a tricky situation. Let's put on our thinking caps, shall we?
To calculate the density of the stone, we need to divide its mass by its volume. Lucky for us, we already know the mass of the stone, which is 1.75g.
Now, the change in volume of the water in the cylinder is 52.5 cm³ - 50 cm³ = 2.5 cm³. Voila! We have the volume of the stone, which is equal to 2.5 cm³.
Now, to calculate the density, we divide the mass (1.75g) by the volume (2.5 cm³). Grab your calculator, and let's do some math!
Density = Mass / Volume
= 1.75g / 2.5 cm³
And the answer is... *drumroll*
The density of the stone is 0.7 g/cm³. Ta-da!
Just remember, jokes aside, always make sure to double-check your calculations. Happy measuring!
To calculate the density of the stone, we can use the formula:
Density = Mass / Volume
Given:
Mass of the stone = 1.75 g
Change in volume = 52.5 cm³ - 50 cm³ = 2.5 cm³
First, let's convert the volume from cm³ to m³:
1 cm³ = 1 x 10^(-6) m³
So, the change in volume in m³ will be:
2.5 cm³ x (1 x 10^(-6) m³/cm³) = 2.5 x 10^(-6) m³
Now, we can calculate the density of the stone:
Density = Mass / Volume
= 1.75 g / 2.5 x 10^(-6) m³
Since the units are different, we need to convert the mass from grams to kilograms:
1 g = 1 x 10^(-3) kg
So, the mass of the stone in kilograms will be:
1.75 g x (1 x 10^(-3) kg/g) = 1.75 x 10^(-3) kg
Now, we can substitute the values into the density formula:
Density = 1.75 x 10^(-3) kg / 2.5 x 10^(-6) m³
Dividing the two values, we get:
Density = 700 kg/m³
Therefore, the density of the stone is 700 kg/m³.
To calculate the density of the stone, you need to use the formula:
Density = Mass / Volume
1. First, convert the volume of water displaced by the stone into milliliters (cm^3) as follows:
52.5 cm^3 - 50 cm^3 = 2.5 cm^3
2. Next, convert the mass of the stone from grams to milligrams (mg) as follows:
1.75 g x 1000 mg/g = 1750 mg
3. Now, substitute the values into the density formula:
Density = 1750 mg / 2.5 cm^3
4. Calculate the density:
Density = 700 mg/cm^3
Therefore, the density of the stone is 700 mg/cm^3.