To solve for [tex]\( h \)[/tex] in the equation [tex]\( V = \frac{1}{4} \pi r^3 h \)[/tex]:
1. Start with the given equation:
[tex]\[
V = \frac{1}{4} \pi r^3 h
\][/tex]
2. To isolate [tex]\( h \)[/tex], we need to get [tex]\( h \)[/tex] alone on one side of the equation. First, multiply both sides of the equation by 4 to clear the fraction:
[tex]\[
4V = \pi r^3 h
\][/tex]
3. Next, divide both sides of the equation by [tex]\(\pi r^3\)[/tex] to solve for [tex]\( h \)[/tex]:
[tex]\[
h = \frac{4V}{\pi r^3}
\][/tex]
Thus, the solution for [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{4V}{\pi r^3}
\][/tex]
So, the correct answer is:
[tex]\[
h = \frac{4V}{\pi r^3}
\][/tex]
