Solve the formula for the specified variable.
-$S=2 \pi r h+2 \pi r^{2}$ for $h$

A) $h=\frac{S-2 \pi r^{2}}{2 \pi r}$

B) $h=2 \pi(S-r)$

C) $h=h S-r$

D) $h=\frac{S}{2 \pi r}-1$

Question

Solve the formula for the specified variable.
-$S=2 \pi r h+2 \pi r^{2}$ for $h$

A) $h=\frac{S-2 \pi r^{2}}{2 \pi r}$

B) $h=2 \pi(S-r)$

C) $h=h S-r$

D) $h=\frac{S}{2 \pi r}-1$

Quizplus · Accepted Answer

To solve for $h$, we isolate $h$ on one side of the equation. Starting with $S=2 \pi r h+2 \pi r^{2}$, we subtract $2 \pi r^{2}$ from both sides to get $S - 2 \pi r^{2} = 2 \pi r h$. Then, we divide both sides by $2 \pi r$ to isolate $h$, resulting in $h = \frac{S - 2 \pi r^{2}}{2 \pi r}$.

Solve the Formula for the Specified Variable S=2πrh+2πr2S=2 \pi r h+2 \pi r^{2}S=2πrh+2πr2

Solve the Formula for the Specified Variable $S=2 \pi r h+2 \pi r^{2}$