Question

How many spherical lead shots each of diameter $4.2cm$ can be obtained from a solid rectangular lead piece with dimensions $66cm,42cm,21cm$.?
(Insert value in nearest integer)

Answer 1

Volume of sphere = Volume of 1 spere shot $=\frac{4}{3}\pi r^3=38.8$

Volume of cuboidal lead block $=lbh=\left(66\right)\left(42\right)\left(21\right)=58212$ cu. cm

Number of shots $=\frac{\text{Volume of cuboidal lead block}}{\text{Volume of 1 spherical shot}}=\frac{58212}{38.8}=1500.30=1500$