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How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm.

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Answer 1501


            It is given that the length, breadth and height of rectangular solid is 66cm, 42cm and 21cm respectively.

            Volume of solid rectangular lead piece = l \times b \times h

                        66 \times 42 \times 21

                        =5821 cm^3

            The diameter of spherical lead shot =4.2

            The radius of spherical lead shot

=\frac{4.2}{2}=2.1 cm

           \text{ The volume of lead shot }=\frac{4}{3}\pi r^3

                        =\frac{4}{3}\times 3.14 \times (2.1)^3=38.77 cm^3

        \text{ Number of lead shot can be obtained}=\frac{\text {volume of lead piece}}{\text{volume of lead shot}}


            Hence 1501 lead shot can be obtained from the lead piece of dimensions 66cm, 42cm and 21cm

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