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SAT Math Practice Question #39334 - SATify | SATify

#39334

algebra

equations

hard

60 sec

Calculator OK

The formula for the surface area $S$ of a cylinder is $S = 2 π r h + 2 π r^{2}$ , where $r$ is the radius and $h$ is the height. Which equation correctly gives $h$ in terms of $S$ and $r$ ?

A.

$h = \frac{S - 2 π r ^{2}}{2 π r}$

B.

$h = S - 2 π r^{2} - 2 π r$

C.

$h = \frac{S}{2 π r} - 2 π r^{2}$

D.

$h = \frac{S}{2 π r} - r$