Let's take this problem step-by-step:
What does this problem ask us to find:
⇒ height
Now consider the formula for the Surface Area of a Cylinder:
⇒ πr² + 2πrh
- r: length of the radius
- h: length of the height
Now consider the information given to us:
- radius' length: 5 cm
- Surface area: 110π
Let's plug everything into the surface area formula:
[tex]110\pi =\pi (5)^2+2\pi *5*x\\110\pi =25\pi +10x*\pi \\110*x=(25 +10x)*\pi \\110=25+10x\\10x = 85\\x=8.5[/tex]
Thus the height is 8.5 cm
Answer: 8.5 cm
Hope that helps!
