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How many shots each having a diameter of 3 cm can be made from a cuboidal lead solid of dimensions 9cm \times 11cm \times 12cm\ ?

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Answer 84


Here the dimensions of a cuboid are

9cm \times 11cm \times 12cm

            Volume of cuboid =l \times b \times h

                        =9 \times 11 \times 12


            The diameter of the shot is 3 cm

            Radius of shot \frac{3}{2}=0.5 cm

            The volume of 1 shot

=\frac{4}{3}\pi r^3       \left (\because \text{volume of sphere}=\frac{4}{3}\pi r^3 \right )

 =\frac{4}{3}\times (3.14) \times (1.5)^3

 =\frac{4}{3}\times 3.14 \times (1.5 )^3

Number of shots

 =\frac{\text{volume of cuboid }}{\text {volume of sphere}}=\frac{1188}{14.13}=84

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