Answer:
Step-by-step explanation:
A=2pir^2+2pirh
A=2pir(r+h)
A/(r+h)=2pir
(r+h)/A=1/2pir
r+h=A/2pir
h=(A-2pir^2)/2pir
h = [tex]\frac{A-2\pi r^2}{2\pi r}[/tex]
A = 2πr² + 2πrh ( subtract 2πr² from both sides )
A - 2πr² = 2πrh ( isolate h by dividing both sides by 2πr )
[tex]\frac{A-2\pi r^2}{2\pi r}[/tex] = h
