MCQ
The number of spherical bullets each $5\ dm$ in diameter which can be cast from a rectangular block of lead $11 m$ long, $10 m$ broad and $5$ high is
- ✓$8400$
- B$5600$
- C$6300$
- D$4200$
✓
Answer
Correct option: A.
$8400$
Here, radius of spherical bullets $=2.5\ dm$ or $0.25 m(1 dm =0.1 m)$
Let the number of bullets be $n$
Now, volume of $n$ number of bullets $=$ volume of rectangular block
$ n \times \frac{4}{3} \pi r ^3= l \times b \times h$
$n \times \frac{4}{3} \times \frac{22}{7} \times 0.25 \times 0.25 \times 0.25=11 \times 10 \times 5$
$n =\frac{11 \times 10 \times 5 \times 21}{88 \times 0.25 \times 0.25 \times 0.25}$
$n =8400$
Let the number of bullets be $n$
Now, volume of $n$ number of bullets $=$ volume of rectangular block
$ n \times \frac{4}{3} \pi r ^3= l \times b \times h$
$n \times \frac{4}{3} \times \frac{22}{7} \times 0.25 \times 0.25 \times 0.25=11 \times 10 \times 5$
$n =\frac{11 \times 10 \times 5 \times 21}{88 \times 0.25 \times 0.25 \times 0.25}$
$n =8400$
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