Question

The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for pie

Round to the nearest tenth of a cubic inch.
Recall the formula Sphere V - 4/3 3.14(4)^3

Answer 1

Rounded to the nearest tenth of a cubic inch, 267.9
`in^(3)`.

Explanation:

Volume is the amount of space inside the shape, or in this case, a sphere (the soccer ball). Given the formula for volume of a sphere,
`V=(4)/(3)\pi r^(3)` we just plug in the values given to us into this equation to get the volume of air the soccer ball can hold (in cubic inches).

`V=(4)/(3) *(3.14)*(4)^(3)` which simplifies to equal approximately 267.9
`in^(3)`.