Question

What is the length of a rectangle formed from the lateral surface of a cylinder?

A) h
B) 2 pie r
C) 2 pie r h
D) pie r squared

Answer 1

For this case the lateral area of the cylinder is given by:

`A = 2 * \pi * R * h`
Where,
R: radius of the base of the cylinder
h: cylinder height
The length of the rectangle is:

`L = (A)/(h)`
Substituting values:

`L = (2 * \pi * R * h)/(h)`
Simplifying we have:

`L = 2 * \pi * R`
Answer:
B) 2 * pi * r

Answer 2

Circumference of the base of a cylinder:
C = 2 π r = Length of a rectangle ( h - Width )
Answer: B ) 2 π r