question.

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A measuring cylinder contains 50 cm ^3 of water. A stone has a mass of 1.75 g the stone is lowered into the cylinder rises to 52.5 cm^3 calculate the density of the stone.

1 answer

To find the density of the stone, we can use the formula for density:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

  1. Mass of the stone (m): 1.75 g

  2. Volume of the stone (V):

    • Initial volume of water = 50 cm³
    • Final volume of water after placing the stone = 52.5 cm³
    • Volume of the stone = Final volume - Initial volume = \(52.5 , \text{cm}^3 - 50 , \text{cm}^3 = 2.5 , \text{cm}^3\)
  3. Calculate the density: \[ \text{Density} = \frac{1.75 , \text{g}}{2.5 , \text{cm}^3} = 0.7 , \text{g/cm}^3 \]

Therefore, the density of the stone is 0.7 g/cm³.