The number of tennis ball that will fill the room is 1,371 tennis balls.
Given:
Diameter of ball (d) : 2 inch
Radius (r) = half of diameter = 1 inch
Dimension of room = 20ft by 16ft by 18ft
Number of balls that will fill the room = Volume of each ball/volume of the room
Volume of the ball = volume of a sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
Where,
r = 1
let [tex]\pi = 3.14[/tex]
Substitute:
[tex]Volume = \frac{4}{3} \times 3.14 \times 1^{3} \\Volume = 4.2in^{3}[/tex]
Volume of the room = [tex]20 \times 16 \times 18 \\[/tex]
[tex]= 5,760[/tex]
Therefore:
number of tennis balls that will fill the room = [tex]\frac{5,760}{4.2} = 1,371.4[/tex]
Therefore, the number of tennis ball that will fil the room will be approximately 1,371.
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