**Equation:**

No of basketballs that can be accommodated in a 16X16 room is = ( Available Volume of the room / Volume of each basketball )

**Assumptions and Facts:**

- We are
*assuming* that, its the basketball we are talking about in this case study. Size of the ball is assumed to be of radius 15 cms. - The room is
*assumed* to be of a cube size. So height, width and length all are assumed to be 16 ft. - The best possible fit ratio is
*assumed* to be 75%. So only 75% of the room is available for fitting basketballs in it. - 1 ft = 30 cms (
*fact*)

**Process:**

Volume of a Room can be calculated by formula = Length * Breadth * Height

Total space in room in cms cube (A) = 16 * 16 * 16 * 30 * 30 * 30

Calculation of available space in room (B) = 0.75 * A

Volume of each ball = Volume of each sphere = (4/3) * (22/7) * cube of radius

Volume of each ball (C) = (4/3) * (22/7) * 15 * 15 * 15

Dividing B by C, you should get around 6300, which means we can fit in approximately 6300 basketballs in a room of dimensions 16 ft X 16 ft X 16 ft