Question

Which expression gives the volume of a sphere with radius 5?

Answer 1

The formula of the volume of a sphere with a radius R:

`V=(4)/(3)\pi R^3`
We have R = 5. Substitute:

`V=(4)/(3)\pi\cdot5^3=(4)/(3)\pi\cdot125=(500\pi)/(3)`

Answer 2

The volume of a sphere with radius 5 is 523.33 unit³

Explanation:

Given : a sphere with radius 5

We have to find an expression that gives the volume of a sphere with radius 5.

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

Given radius is 5 units

Substitute , we get,

Volume of sphere =
`(4)/(3) \pi (5)^3`

Simplify, we get,

Volume of sphere =
`(4)/(3) \pi 125`

Using
`\pi=3.14` we get,

Volume of sphere =
`(4)/(3) \cdot 3.14 \cdot 125`

Solving , we get,

Volume of sphere = 523.33 unit³

Thus, the volume of a sphere with radius 5 is 523.33 unit³