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

Question

Quizplus · Accepted Answer

To solve for $h$, we start with the given equation $S = 2 \pi r h + 2 \pi r^2$. We want to isolate $h$, so 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 $h = \frac{S - 2 \pi r^2}{2 \pi r}$, which matches choice D.

Solve the Equation for the Indicated Variable S=2πrh+2πr2, for hS = 2 \pi r h + 2 \pi r ^ { 2 } , \text { for } hS=2πrh+2πr2, for h

Solve the Equation for the Indicated Variable $S = 2 \pi r h + 2 \pi r ^ { 2 } , \text { for } h$