The diameter of a sphere is 4 centimeters which represents the volume of the sphere 32/3 cm

32 cm

Step-by-step explanation:

Hi, the options of the questions are •

32 cm  

87 cm  

54 cm  

167 cm

The formula for the volume of a sphere is  

V = 4/3 πr³

Where r is the radius.

Since the radius is equal to the diameter divided by 2:

r = d/2= 4 /2 = 2 cm  

Replacing in the formula

V = 4/3 π 2³

Solving

V = 4/3 π 8= 33.51 cm

So, the correct option is 32 cm, which  closest to the value.

Feel free to ask for more if needed or if you did not understand something.