Question

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

Answer 1

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 2

Opton (a) is correct.

The volume of sphere is
`(32)/(3)\pi` cm³

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 =
`(4)/(3)\pi r^3`

Substitue, r = 2 , we get,

Volume of sphere =
`(4)/(3)\pi (2)^3`

Simplify, we have,

Volume of sphere =
`(4)/(3)\pi 8`

Volume of sphere =
`(32)/(3)\pi`

Thus, The volume of sphere is
`(32)/(3)\pi` cm³