Solve for \( h \) in the equation \( S = 2\pi rh + \pi r^2 \).
Answer (2)
S = π r h + π r 2 ∣ s u b t r a c t π r 2 s − π r 2 = π r h ∣ d i v i d e b y π r π r s − π r 2 = h
To find h in the equation S = 2 π r h + π r 2 , subtract π r 2 from both sides, then divide by 2 π r . The solution is h = 2 π r S − π r 2 . This formula expresses height in terms of surface area and radius.
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