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Question

How many spherical bullets each of $$5cm$$ in diameter can be cast from a rectangular block of metal $$11dm\times 1m\times 5dm$$?


Solution

$$1  dm = 10 cm$$

$$1 m =100 cm$$

Hence total volume of block = $$L\times B\times H$$

$$=110\times 100 \times 50 cm^3=5,50,000cm^3$$

No. of bullets cast = $$\dfrac{550000}{\dfrac43\pi (2.5)^3}=8403 $$  bullets

Mathematics

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