Answer :
Let's solve for [tex]\( n \)[/tex] in the given formula [tex]\( V = n^2 h \)[/tex].
1. Start with the given formula:
[tex]\[ V = n^2 h \][/tex]
2. To solve for [tex]\( n \)[/tex], we first need to isolate [tex]\( n^2 \)[/tex]. We do this by dividing both sides of the equation by [tex]\( h \)[/tex]:
[tex]\[ \frac{V}{h} = n^2 \][/tex]
3. Now, we need to solve for [tex]\( n \)[/tex]. To do this, take the square root of both sides of the equation:
[tex]\[ n = \sqrt{\frac{V}{h}} \][/tex]
Therefore, solving the formula [tex]\( V = n^2 h \)[/tex] for [tex]\( n \)[/tex] yields:
[tex]\[ n = \sqrt{\frac{V}{h}} \][/tex]
Looking at the given options, we see that option D matches this result:
D. [tex]\( s = \sqrt{\frac{V}{h}} \)[/tex]
Hence, the correct choice is [tex]\( \boxed{D} \)[/tex].
1. Start with the given formula:
[tex]\[ V = n^2 h \][/tex]
2. To solve for [tex]\( n \)[/tex], we first need to isolate [tex]\( n^2 \)[/tex]. We do this by dividing both sides of the equation by [tex]\( h \)[/tex]:
[tex]\[ \frac{V}{h} = n^2 \][/tex]
3. Now, we need to solve for [tex]\( n \)[/tex]. To do this, take the square root of both sides of the equation:
[tex]\[ n = \sqrt{\frac{V}{h}} \][/tex]
Therefore, solving the formula [tex]\( V = n^2 h \)[/tex] for [tex]\( n \)[/tex] yields:
[tex]\[ n = \sqrt{\frac{V}{h}} \][/tex]
Looking at the given options, we see that option D matches this result:
D. [tex]\( s = \sqrt{\frac{V}{h}} \)[/tex]
Hence, the correct choice is [tex]\( \boxed{D} \)[/tex].
