Respuesta :

Volume = (4/3)x PI x r^3

using 3.14 for PI

r = 9.5/2 = 4.75

(4/3) x 3.14 x 4.75^3 = 448.69 cubic inches

Answer: 448.69 cubic inches

Step-by-step explanation:

We know that the shape  of a basket ball is sphere.

Also, the volume of sphere is given by :-

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Given : The diameter of a basketball is 9.50 inches

Then , the radius of  basketball =[tex]\dfrac{d}{2}=\dfrac{9.5}{2}=4.75\text{ inches}[/tex]

Now, the volume of basket ball will be :-

[tex]V=\dfrac{4}{3}(3.14) (4.75)^3\\\\\Rightarrow\ V=448.692916667\approx448.69\text{ cubic inches}[/tex]

Hence, the volume of the ball rounded =448.69 cubic inches