Question : How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimensions 88 cm, 63 cm, and 42 cm?(Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 920
Option 2: 750
Option 3: 650
Option 4: 860
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Correct Answer: 750
Solution : Given, Dimensions of rectangular solid are 88 cm, 63 cm, and 42 cm. Radius of each lead shot $=\frac{8.4}{2}=4.2\ \text{cm}$ Let $N$ number of shots can be obtained. According to the question, $N\times\frac{4\pi\times4.2^3}{3}=88\times63\times42$ ⇒ $N\times\frac{4}{3}\times \frac{22}{7}\times4.2^3=88\times63\times42$ $\therefore N=750$ Hence, the correct answer is 750.
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