Respuesta :

Answer:

The Radius of sphere is 3.15 unit  

Step-by-step explanation:

Given as,

Volume of Sphere = 42 [tex]\pi[/tex]    unit³

From the Volume of Sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] r³

Where r is the radius of Sphere

So , 42 [tex]\pi[/tex]  = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] r³

Or,  42  = [tex]\frac{4}{3}[/tex] r³

Or ,  r³ = [tex](\frac{42 \times 3}{4})[/tex]

Or,   r³ = 31.5

Or, Radius = [tex]\sqrt[3]{31.5}[/tex] = 3.15 unit

Hence the Radius of sphere is 3.15 unit   Answer