Question

A sphere has a radius of 3 inches. What is the volume of the sphere rounded to the nearest tenth? Use 3.14 for pi. 28.3 in³ 88.7 in³ 113.0 in³ 211.3 in³

Answer 1

The volume of the sphere is
`113.0in^3`.

Step-by-step explanation

The volume of a sphere is calculated using the formula;

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

We were given in the question that the radius is
`3` inches. Therefore we substitute
`r=3` in to the formula for finding the volume to obtain;

`Volume=(4)/(3)(3.14) (3)^3`

`\Rightarrow Volume=(4)/(3)(3.14) (27)`.

`\Rightarrow Volume=4* (3.14) (9)`

`\Rightarrow Volume=113.04`

Rounding to the nearest tenth means we should round to one decimal place. This will give us;

`Volume=113.0in^3`