How many spherical lead shots each 4.2 cm in diameter can be obtained from a rectangular solid of lead with dimensions 66cm, 42cm, 21cm. `(u s epi=(22)/7)dot`

Explanation

Let the number of lead shots be `x`

Dimensions are `66cm` , `42cm` and `21cm`

Volume of lead in the rectangular solid =`(66×42×21)cm`

Volume of spherical lead shots = `4/3pir^3`=`4/3xx22/7xx(4.2/2)^3`
(Here diameter, `d=4.2cm`)

Volume of x spherical lead shots=`4/3xx22/7xx2.1^3xx(x)`

Volume of x spherical shots = Volume of lead in rectangular solid

`4/3xx22/7xx2.1^3xx(x)=66xx42xx21`

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