Question

What is the volume of a sphere having a diameter of 6 cm?

Answer 1

113.1

Explanation:

Volume of sphere =
`(4)/(3)` × π × r²

Volume of sphere =
`(4)/(3)` × π × 3²

Volume of sphere =
`(4)/(3)` × π × 9

Volume of sphere =
`(4)/(3)` × 9 π

Volume of sphere = 113.1

Answer 2

`V=113.1cm^3`

Explanation:

The formula to calculate the volume of a sphere is:

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

Where r is the radius of the sphere.

In this case we do not know the radius of the sphere, but we know the diameter.

By definition the diameter of a sphere is equal to twice the radius. This is:

`d = 2r`

`r = (d)/(2)`

In this case d=6 cm

So

`r = (6)/(2)`

`r = 3\ cm`

Finally

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

`V=36\pi\ cm^3`

`V=113.1cm^3`