Question

URGENT Help me pls I need to know how much is 'x'

Answer 1

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!