Question

You have given a sphere with a volume of π3. What is the radius of this sphere? Explain whether or not it is possible to build such a sphere in reality?

Answer 1

Volume of a sphere is given by :

V = 4/3πr³

Therefore :

π³ = 4/3πr³

r³ = π³ × 3/4π

r³ = 3/4π²

r = ∛3/4π²

r = ∛3/4π²

π = 3.142

3.142² × 3/4 = 7.4041

r = ∛7.4041

r = 1.949

In reality we cannot build such a sphere coz its radius is way too small.