Answer :
To determine the number of grains in the bullet weighing [tex]$10.5$[/tex] grams, we use the conversion factor between grams and grains. Specifically, one gram is approximately equal to [tex]$15.432$[/tex] grains.
Follow these steps:
1. Multiply the weight of the bullet by the conversion factor:
[tex]$$
10.5 \text{ grams} \times 15.432 \frac{\text{grains}}{\text{gram}} = 162.036 \text{ grains}
$$[/tex]
2. Since the number of grains must be an integer, we round the result:
[tex]$$
162.036 \approx 162 \text{ grains}
$$[/tex]
Thus, the bullet contains [tex]$162$[/tex] grains.
The correct answer is option D.
Follow these steps:
1. Multiply the weight of the bullet by the conversion factor:
[tex]$$
10.5 \text{ grams} \times 15.432 \frac{\text{grains}}{\text{gram}} = 162.036 \text{ grains}
$$[/tex]
2. Since the number of grains must be an integer, we round the result:
[tex]$$
162.036 \approx 162 \text{ grains}
$$[/tex]
Thus, the bullet contains [tex]$162$[/tex] grains.
The correct answer is option D.
