Adult size basketballs have a radius of approximately 12 cm. Calculate the volume of air needed to fill the basketball to the nearest whole number Include the proper units.

Question

asked May 2, 2021 61.2k views

1 Answer

Alijvhr · Answer 1 · 2021-05-06T15:00:14+0000

Answer:

The volume of air needed is 603 cm³.

Step-by-step explanation:

In general, basketball has a size of a sphere, so you have to find the volume of sphere using the formula :

$v = (4)/(3) \pi {r}^(2)$

$let \: r = 12$

$v = (4)/(3) * \pi * {12}^(2)$

$v = (4)/(3) * \pi * 144$

$v = 192\pi$

$v = 603 \: {cm}^(3) (near. \: whole \: no)$