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.

Answer 1

To calculate the density of the stone, we first need to determine its volume and then use the mass and volume to find the density.

1. Calculate the volume of the stone:

   • Initially, the volume of water in the cylinder is 50 cm³.
   • After the stone is submerged, the volume rises to 52.5 cm³.
   • The volume of the stone is the difference in the water level:

   \[ \text{Volume of the stone} = 52.5 , \text{cm}^3 - 50 , \text{cm}^3 = 2.5 , \text{cm}^3 \]

2. Use the mass of the stone:

   • The mass of the stone is given as 1.75 g.

3. Calculate the density of the stone:

   • Density (\( \rho \)) is defined as mass divided by volume:

   \[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{1.75 , \text{g}}{2.5 , \text{cm}^3} \]

   \[ \text{Density} = 0.7 , \text{g/cm}^3 \]

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