Question

A tennis ball is 2 inch in diameter. How many tennis ball will fill a room of 20ft by 16ft by 18ft if no space wasted?

Answer 1

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 = $\frac{4}{3} \pi r^{3}$

Where,

r = 1

let $\pi = 3.14$

Substitute:

$Volume = \frac{4}{3} \times 3.14 \times 1^{3} \\Volume = 4.2in^{3}$

Volume of the room = $20 \times 16 \times 18$

$= 5,760$

Therefore:

number of tennis balls that will fill the room = $\frac{5,760}{4.2} = 1,371.4$

Therefore, the number of tennis ball that will fil the room will be approximately 1,371.

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