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The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?


32/3 π cm ^3

8π cm ^3

64/3 π cm ^3

16π cm^3

Verified Answer :

We know, Volume of a Sphere = 4/3 πr³
So, v = 4/3 π  (2)³
v = 4/3 π 8
v = 32/3π cm³

In short, Your Answer would be Option A

Hope this helps!

Answer:

Opton (a) is correct.

The volume of sphere is \(\frac{32}{3}\pi\) 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 =\(\frac{4}{3}\pi r^3\)

Substitue, r = 2 , we get,

Volume of sphere =\(\frac{4}{3}\pi (2)^3\)

Simplify, we have,

Volume of sphere =\(\frac{4}{3}\pi 8\)

Volume of sphere =\(\frac{32}{3}\pi\)

Thus, The volume of sphere is \(\frac{32}{3}\pi\) cm³

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