Answer:
Opton (a) is correct.
The volume of sphere is [tex]\frac{32}{3}\pi[/tex] cm³
Step-by-step explanation:
Given : Diameter of a sphere is 4 cm.
We have to find the volume of the sphere and choose out of given option whic represents the volume correctly.
Since, given diameter of a sphere is 4 cm thus, radius is half of diameter and is 2 cm.
Also, Volume of sphere =[tex]\frac{4}{3}\pi r^3[/tex]
Substitue, r = 2 , we get,
Volume of sphere =[tex]\frac{4}{3}\pi (2)^3[/tex]
Simplify, we have,
Volume of sphere =[tex]\frac{4}{3}\pi 8[/tex]
Volume of sphere =[tex]\frac{32}{3}\pi[/tex]
Thus, The volume of sphere is [tex]\frac{32}{3}\pi[/tex] cm³
