Question

Which point on the number line represents the volume of a sphere with a radius of 3 units? Use 3.14 for π.

Answer 1

I have some examp that i think will help

We need to do two multiplications to work out the volume. We calculate the area of one face (or side) and multiply that by its height. The examples below show how there are three ways of doing this.

Area = 6 x 4 = 24Volume = Area x 2Volume = 24 x 2 = 48 cubic unitsArea = 6 x 2 = 12Volume = Area x 4Volume = 12 x 4 = 48 cubic unitsArea = 4 x 2 = 8Volume = Area x 6Volume = 8 x 6 = 48 cubic units

Answer 2

113.04 on the number line represents the volume of the given sphere.

Explanation:

We know that the volume of a sphere is,

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

Where r is the radius of the sphere,

Here,

r = 3 units,

So, the volume of the sphere is,

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

`=(4)/(3)* 3.14* 27`

`=(339.12)/(3)`

`=113.04\text{ square unit}`

Hence, 113.04 on the number line represents the volume of the sphere.