Christine fills a ball in the shape of a sphere with air .The diameter of the ball when it is filled is 18 inches.How much air in cubic inches is in the ball when it is filled

Question

asked Jun 3, 2022 196k views

1 Answer

David Andersson · Answer 1 · 2022-06-07T13:37:32+0000

Answer:

$V=3052.08\ in^3$

Explanation:

Given that,

The diameter of the ball, d = 18 inches

Radius, r = 9 inches

We need to find the air in cubic inches is in the ball when it is filled. The volume of a sphere is given by :

$V=(4)/(3)\pi r^3\\\\=(4)/(3)* 3.14* (9)^3\\\\=3052.08\ in^3$

So,
$3052.08\ in^3$ of air is in the ball.