Question

What is the height of cylinder with a surface area of 226.08 square meters and a radius of 3 meters? (Use 3.14 for π.)

Answer 1

5

Answer 2

Surface Area of a Cylinder = 2 π r\(^2\) + 2 π r h
r = radius
h = height

Can you solve for "h" from here?

Answer 3

Surface area of a cylinder:
\[A=2\pi r^2+2\pi rh\]
Plug in the values:
\[226.08=2(3.14)(3)^2+2(3.14)(3)h\]
Simplifying the equation:
\[226.08=56.52+18.84h\]
Subtract 56.52:
\[169.56=18.84h\]
Divide by 18.84:
h=9