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

Respuesta :

Answer:

[tex]V=3052.08\ in^3[/tex]

Step-by-step 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 :

[tex]V=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\times 3.14\times (9)^3\\\\=3052.08\ in^3[/tex]

So, [tex]3052.08\ in^3[/tex] of air is in the ball.