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Home » E = a^2 + b^2 - ab = (2b)^2 + b^2 - (2b)(b) - SITENAME

E = a^2 + b^2 - ab = (2b)^2 + b^2 - (2b)(b) - SITENAME

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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S = 2\pi r^2 + 2\pi rh
Substituting \(h = 2r\), we have:
S = 2\pi r^2 + 2\pi r(2r) = 2\pi r^2 + 4\pi r^2 = 6\pi r^2
We know that \(S = 54\pi\), so:
6\pi r^2 = 54\pi
Dividing both sides by \(6\pi\), we get:
r^2 = 9
Taking the square root of both sides, we find:
r = 3
Thus, the radius of the cylinder is \(\boxed{3}\).

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