What is the area of a cylinder of 1m x 10m?

Answer 1

First, what do you mean by "area of a cylinder"?

Area is a property of two dimensional shapes whereas a cylinder is a three dimensional shape.

I guess that you mean "surface area of a cylinder"

Next, you do not specify what the dimensions give refer to:

Is the 1 m a radius, diameter or height, similarly is the 10m radius, diameter or height?

As I cannot tell from the information given in your question, I can only give you the formula to find the surface of a cylinder and let you substitute in the correct values:

The surface area of a cylinder is the area of the two ends (both circles) plus the area of the curved edge (between the two ends). For the latter, if you were to cut the cylinder down from one end to the other it can be "unrolled" and flattened out into a rectangle which has one dimension the height of the cylinder and the other the circumference of the end.

Thus:

Surface area cylinder = 2 × area end + area side

= 2 × π × radius² + 2 × π × radius × height

= 2πr(r + h)

where r is the radius of the end and h is the height between the two ends.

For your cylinder of 1m x 10m the possible values of r and h are:

• r = 1, h = 10
• r = ½, h = 10
• r = 10, h = 1
• r = 5, h = 1

depending on whether:

• 1m = radius, 10m = height
• 1m = diameter, 10m = height
• 1m = height, 10m = radius
• 1m = height, 10m = diameter.