A cylindrical glass of radius 7 cm is partially filled with water . 154 metal cubes of edge length 1 cm have been dropped into this glass slowly.after that water rises up to the brim of the glass .the rise in water level will be
well, a layer of water 1cm deep will have volume 49π cm^3.
The volume of the cubes is 154 cm^3
That should tell you how to figure the depth of water occupied by the cubes.
To find the rise in water level, we need to calculate the volume of the 154 metal cubes and compare it to the volume of the glass that was partially filled with water.
First, let's find the volume of a single metal cube:
The edge length of the metal cube is 1 cm, so the volume of one cube is (1 cm)^3 = 1 cubic cm.
Now, let's find the volume of all 154 metal cubes:
The volume of 154 cubes is 154 * (1 cubic cm) = 154 cubic cm.
Since each cubic centimeter of water that was displaced by the metal cubes resulted in a rise of 1 cubic centimeter in the water level, the rise in water level will be equal to the volume of the metal cubes, which is 154 cubic cm.
Therefore, the rise in water level will be 154 cm³.