Question

How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm × 12 cm?

Answer 1

We have,

Radius of a lead short, `r = 3/2 = 1.5  "mm" = 0.15  "cm" and`

Dimensions of the cuboid are 9 cm × 11 cm × 12 cm

Now,

The number of the lead shorts `="Volume of the cuboid"/"Volume of a lead shot"`

`=(9xx11xx12)/((4/3 πr^3))`

`=(9xx11xx12)/((4/3xx22/7xx0.15xx0.15xx0.15))`

= 84000

So, the number of lead shots that can be made from the cuboid is 84000.