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

Question

Quizplus · Accepted Answer

The equation $\mathrm { S } = 2 \pi \mathrm { rr } + 2 \pi \mathrm { r } ^ { 2 }$ is a formula for the surface area of a cylinder, where $S$ is the surface area, $r$ is the radius, and $h$ is the height. The correct rearrangement for $h$ is $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$, which isolates $h$ on one side of the equation.

Solve the Equation for the Indicated Variable S=2πrr+2πr2\mathrm { S } = 2 \pi \mathrm { rr } + 2 \pi \mathrm { r } ^ { 2 }S=2πrr+2πr2

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