A rock has a mass of 850g and was placed in a graduated cylinder with an initial volume of 35ml, which changed into 50ml. Calculate the density of the rock
Question
A rock has a mass of 850g and was placed in a graduated cylinder with an initial volume of 35ml, which changed into 50ml. Calculate the density of the rock
Solution
Sure, here are the steps to calculate the density of the rock:
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First, we need to convert the mass of the rock from grams to kilograms because the standard unit of mass in the International System of Units (SI) is the kilogram. To do this, we divide the mass in grams by 1000. So, 850g = 0.85kg.
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Next, we need to calculate the volume of the rock. We can do this by subtracting the initial volume of the water in the graduated cylinder from the final volume after the rock was added. So, the volume of the rock is 50ml - 35ml = 15ml.
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We also need to convert this volume from milliliters to cubic meters because the standard unit of volume in the SI is the cubic meter. To do this, we know that 1ml = 1cm^3, and 1m = 100cm, so 1m^3 = 1,000,000cm^3. Therefore, 15ml = 15cm^3 = 15/1,000,000 m^3 = 0.000015 m^3.
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Finally, we can calculate the density of the rock using the formula for density, which is mass/volume. So, the density of the rock is 0.85kg / 0.000015 m^3 = 56666.67 kg/m^3.
So, the density of the rock is approximately 56666.67 kg/m^3.
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