A piece of copper having an internal cavity weighs in air and in water, Find the volume of the cavity. (Take the density of copper as ).
Step 1: Given data
Density of copper
Weight in air
Weight in water
We have to find the volume of the cavity.
Step 2: Finding the volume of copper block and the total volume of copper block + cavity
Mass of copper in air
Mass of copper in water
Apparent loss of mass in water
Mass of water displaced by copper piece when completely immersed in water
Volume of water displaced
We know,
the volume of water displaced = the volume of copper immersed
Therefore, the volume of the copper piece including the volume of the cavity
Volume of copper block excluding the cavity
Step 3: Find the volume of the cavity.
The volume of the piece of copper including the cavity is equal to the volume of water.
Therefore,
Volume of cavity
Hence, the volume of the cavity is .