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Sonja [21]
3 years ago
8

S = 2πrh + 2πr², for h

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

Step-by-step explanation:

This is a literal equation, and for some reason, students literally freak out about solving them.  We will isolate h the same way we would if we were solving an equation for x.  In order to get the term with the h in it all by itself, we have to move everything else away from that term.  The 2πr² is added on the left, so we will move it by subtracting it from both sides, giving us

S-2\pi r^2=2\pi rh

Then we need to get the h alone.  Everything on the right side of the equals sign is multiplied together, so the "undoing" of multiplication is division, so that's what we'll do.  Divide everything away from the h:

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

which is choice C.

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