How do you find the area of a curved surface of a cylinder?

Question

How do you find the area of a curved surface of a cylinder?

Answer 1

If you were to "unwrap" the cylinder you would have a simple rectangle, the area of which is length* width. These correspond to the height and circumference (of the base) of the cylinder. So, the area is base circumference*height.

Answer 2

The formula for the area of the curved surface of a cylinder is:



Circumference multiplied by the height



Area of surface = pi Dh



pi = 3.1416

D = Diameter

h = height



Therefore you must know the diameter of the cylinder and also the height which can be measured

Answer 3

Easy! Think about the circumference of a circle (which is the cross-section of a cylinder) then just multiply that by its length and add the ends.



So, if the radius of the cylinder is R, then the circumference of the section is pi(2R).

If the length of the cylinder is L, then the area of the long surface of the cylinder is pi(2R)(L).

The area of the ends is two circles: (2)pi(R^2)



The total cylinder is 2(pi)(R^2)+2(pi)R

or

2(pi)(R)(R+1)



If you think about "unpeeling" the surface of the cylinder and flattening it out into a rectangle then this becomes clear.

Answer 4

This is an easier shape to visualize the answer to than some. Imagine the cylinder cut lengthwise, that is, at right angles from either edge, and unrolled. The resulting shape would consist of four straight lines and four right angles, possibly square, but at least rectangular. Measuring the lengths of each side and multiplying yields an answer expressed as units of area. If the cylinder were rolled up again, one of the sides would become the circumference, right?, so circumference times height (or length).

Answer 5

O.O Ok to find the area of the curved surface of a cylinder, what you do is you find the circumference of the base. (diameter x pi [3.14....] ) Then you multiply that by the hight of the cylinder. You now have the area of the curved side of the cylinder. ;) I hope that that helped!

P.S. [I am using my brother's account while he does stuff. He let me today, for now... ;) ]

Answer 6

1. Straighten up the curve, and cylinderical surface changes into a rectangle - Area= side x side.



2. Circumference X height

Answer 7

...



To find the area of the curved surface of a cylinder, you find the circumference of the circle and multiply it by the height of the cylinder.



...

Answer 8

the Surface area of the hollow cylinder is (2*3.14.15*radius of the cylinder*len of the cylinder) , if it is closed on both side the add the area of the two lids of the cylinder, i hope this helps you.....



If it is irregular then go for integration of definite identifiable areas of the cylinder....

Answer 9

S .A =2^rh you said h=5cm total S.A open at a end is =^r(r+2h) you nw said is equal to 110msq SOLUTION 110=2^RH 110=2*22/7*R*5 =110=220R/7 R=110*7/220 R=770/220 R=3.5CM

Answer 10

Pi times diameter times height!

Answer 11

curved surface area aka lateral surface area=2pirh sq.units

Answer 12

2(pi)rh

r = radius

h = height