SURFACE AREA OF A CYLINDER

1
SURFACE AREA OF A CYLINDER
CIRCULAR SURFACE
LATERAL SURFACE
CIRCULAR SURFACE
2
LATERAL SURFACE AREA

• If we cut a cylinder vertically along its axis,
  we get a rectangle whose length is 2pr which is
  the circumference of circular base.
• The breadth of the rectangle will be the height
  of the cylinder (h ).
• Area of the rectangle so formed length x
  breadth
• Area 2p r x h
• Area 2prh

3
Now we fold the rectangular sheet along its
width. We get shape of a cylinder.
Lateral surface area of cylinder
2p r h sq. unit
2p r h sq. unit
h
Area of two circular ends
p r² p r² 2p r²
2p r
Total area of cylinder 2p r h 2p r²

4
FINDING FORMULA FOR SURFACE AREA OF RIGHT
CIRCULAR CYLINDER

C
D
h
B
2pr

A
Area of Rectangle Length Breadth

L B sq. unit
r
2 p r h sq.unit
5
VOLUME 0F THE CYLINDER
p r²
Volume of cylinder Area of Base Height
But cylinder has circular base.
Area of Circle p r²
h
h
Two circular bases
Volume of Cylinder p r² h cu. unit
Here r radius of base h vertical
height