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

Answer: 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.