Most of you probably know that the basketball is a sphere. However, how does one find its volume? The volume of a sphere can be determined using the Sphere Volume Formula,
V = 4/3¶r3. Here is how the formula was arrived at:
Suppose you take a cylinder with the same height and the same base area of a hemisphere. When you fill the hemisphere with water (fully) and put that water into the cylinder without dropping anything, it will fill the cylinder 2/3 up.
The volume of a cylinder is V = (¶*r2)*h, so then the volume of the hemisphere would be
V = 2/3*(¶*r2)*h.
V = 2/3*¶*r2*h
The height is also the radius in the hemisphere so the volume of a sphere (2 hemispheres) would be
V = 4/3*¶*r3
Stumped? Take a look at the answer key![an error occurred while processing this directive]