Question

How do you figure the area of a cylinder?

Answer 1

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Since the label wraps once around the can, the area of the rectangle is the circumference of the circle x height or (2 r) * h. Add those two parts together and you have the formula for the surface area of a cylinder. After hitting the next button, enter your calculation in the box.

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Answer 2

A uniform cylinder is a structure consists of two circular faces up and down and a rectangular portion rolled to support both the circular faces.

That is the area of a cylinder is,

Area of cylinder=Area of two circles+Area of rectangle

When ‘r’ is the radius of the circles,  

Area of a circle =$\pi r^2$  

Area of the two circles =$2\pi r^2$

Let h be the height (breadth) of the rectangular portion and the circumference of the circle forms the length of the portion. Then its area is given as,

=length×breadth

=$2\pi r *h$

Knowing the area of each portion, the area of the cylinder can be determined as,

Area of the cylinder = Area of the two circles + Area of the rectangular portion

$=2\pi r^2+2 \pi rh$

As few terms are common in both the parts which can be pulled out and final formula is given by,

Area of cylinder$=2 \pi r(r+h)$