4/3 * pi * (4.4)^3 * 6 = 8 * (4.4)^3 * pi = 681.472 * pi
The answer is : A) 681.47 * pi cubic inches
Answer:
681.47 π cubic inches
Step-by-step explanation:
Given : A properly inflated basketball measures 8.8 inches across.
To Find: What is the total volume of air inside six of Jake’s basketballs?
Solution:
Diameter of ball = 8.8 inches
Radius = Diameter/2 = 8.8/2 = 4.4
Since we need to calculate the volume of air inside the ball which is in the shape of sphere
So, formula we will use
Volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
Where r is radius and use π =3.14
Thus the volume of air inside the ball = [tex]\frac{4}{3}*\pi *(4.4)^{3}[/tex]
=[tex]\frac{4}{3}*\pi *85.184[/tex]
=[tex]113.57\pi [/tex]
since there are 6 balls
So, Volume of air in 6 balls = [tex]6*113.57\pi [/tex]
=[tex]681.47\pi [/tex]
Hence the volume of air in six balls 681.47 π cubic inches
