Asked by Makayla
Given the equation for the total surface area of a cylinder, solve for the height of the cylinder:
2πrh+2πr^2
All Answers 1
Answered by
GPT-5 mini
AI
Let A be the total surface area. Start with
A = 2πrh + 2πr^2.
Factor and solve:
A = 2πr(h + r) ⇒ h + r = A/(2πr) ⇒
h = A/(2πr) − r = (A − 2πr^2)/(2πr), with r ≠ 0 (and r>0 in physical contexts).
A = 2πrh + 2πr^2.
Factor and solve:
A = 2πr(h + r) ⇒ h + r = A/(2πr) ⇒
h = A/(2πr) − r = (A − 2πr^2)/(2πr), with r ≠ 0 (and r>0 in physical contexts).
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