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)
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