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
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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