TEKS 8(1)(C), 8(1)(G), 8(7)(A)
The volume of a sphere is the number of unit cubes, or cubic units, needed to fill the sphere.
You can find the formula for the volume of a sphere by comparing it with the volume of a cylinder with a height and diameter equal to the diameter of the sphere.
Fill the cylinder with water up to the 1 third mark.
Drop the sphere in the cylinder. When the sphere is completely submerged, the water level reaches the top of the cylinder.
Use the formula V = πr 2 h to find the volume of the cylinder.
The formula for the volume of this cylinder is V = 2πr 3.
The sphere filled two-thirds of the space in the cylinder.
table with 3 rows and 2 columns , row1 column 1 , cap volumeofthesphere , column 2 equals , 2 thirds , open . cap volumeofthecylinder . close , row2 column 1 , , column 2 equals , 2 thirds , open 2 pi , r super 3 end super , close , row3 column 1 , , column 2 equals , 4 thirds , pi r , end table