Sphere: Volume
How to find the volume of a sphere: formula, 1 example, and its solution.
Theorem
V = [4/3]πr3
V: Volume of a sphere
r: Radius
Proof of the Formula (Disc Integration)
Formular = 6, V = ?
Solution
Solution (Detail)
r = 6
Then V = [4/3]⋅π⋅63.
Cancel the denominator 3
and reduce 63 to,
63/3 = [6⋅62]/3 = [6/3]⋅62,
2⋅62.
4π⋅2 = 8π
62 = 36
8⋅36 = 288
So the volume of the sphere is 288π.