Solve the formula for the indicated variable.
-$\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }$, for $\mathrm { h }$
A) $h = \frac { S } { 2 \pi r } - 1$
B) $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$
C) $h = 2 \pi ( S - r )$
D) $h = S - r$

Question

Quizplus · Accepted Answer

To solve for $h$, isolate $h$ on one side of the equation. Subtract $2\pi r^2$ from both sides to get $S - 2\pi r^2 = 2\pi rh$, then 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 Indicated Variable S=2πrh+2πr2\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }S=2πrh+2πr2

Solve the Formula for the Indicated Variable $\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }$