# Estimation - Number of golf balls that can fit in a School Bus

### Guess Estimate the number of golf balls that can fit in a School Bus

**Clarifying Questions - **

Do we consider the school bus

*with seats*or*without seats*?*A) For the purpose of this question, let’s consider that the school bus has seats inside.*

Known:

1 cubic foot = 1728 cubic inches.

The radius of a Golf ball = 0.85 inches (or 2.1 cm)

#### Calculation:

Size of a School Bus (*assumption*),

= **20 ft long** x **8 ft wide** x **6 ft high **

**= 960 cubic feet**

or 960 x 1728 **cubic inches (***1 cubic foot = 1728 cubic inches***)**

= **1658880 cubic inches.**

**The volume of a Golf Ball,**

= (4/3)*π*r*r*r

= (4/3)*π*0.85*0.85*0.85

**~ 2.5 cubic inches (or 38.8 cubic cm)**

Therefore,

**Number of Golf Balls that can be accommodated,**

= (Volume of the school bus) / (Volume of the golf ball)

= 1658880 / 2.5

**= 660,000 golf balls**

Now, seats will take up some space (assuming 25%),

Number of Golf Balls that can be accommodated **(with seats)**,

= 75% of 660,000

**= 495,000 golf balls**

Now, let’s take into consideration “Best Packing Efficiency” of **74%**

(*Since golf balls are spherical in shape, there will be some void gaps of some volume between the spheres*)

Therefore, the number of golf balls that can actually be accommodated in a school bus,

= 74% of 495,000

**= 366,000 golf balls.**

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