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URGENT

Help me pls

I need to know how much is 'x'

URGENT Help me pls I need to know how much is 'x'-example-1
User ExploreEv
by
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1 Answer

18 votes
18 votes

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:


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

Thus the height is 8.5 cm

Answer: 8.5 cm

Hope that helps!

User Tan Nguyen
by
2.8k points