TOTAL SURFACE AREA & LATERAL SURFACE AREA OF HOLLOW CYLINDER & CYLINDE

1. To our presentation
Topic:-surface areaof rightcircularcylinderand
hollowcylinder
What is Cylinder ?
What is Hollow Cylinder ?
• A solid generated by the
revolution of a rectangle
about one of its sides is
called right circular cylinders.
• A solid bounded by two
coaxial cylinders of the same
Defination of some terms on the
figure of cylinder:-
Base:-each of the circular ends on
which the cylinder rests is called base.
Radius:-the radius of the circular base
is called the radius of the circle.
Height:-the length of the cylinder is

2. CSA of a Cylinder
• Curved surface area of the
cylinder
• =Area of the rectangle
• =Area of a rectangle of length
2πr and breadth h
• =2πr x h square units
• =2πrh square units
2πr
h

3. TSA of a Cylinder
• Total surface area of the cylinder
• =CSA of cylinder + area of bases
• =2πrh + 2 x πr2
• =2πrh + 2πr2
• =2πr(h + r)
2πr
h
πr2
πr2

4. CSA of a Hollow Cylinder
• Let R & r be the external &internal radii of a hollow
cylinder & h be its height as shown fig. 19.7. Then we have
the following results:
• Curved(lateral) Surface Area
• = External Surface Area + Internal Surface Area
• = 2 xπRh + 2 x πr h
• = 2πRh + 2πrh
• = 2πh( R + r )sq. units

5. TSA of a Hollow Cylinder
• Let R & r be the external &internal radii of a hollow cylinder
& h be its height as shown fig. 19.7. Then we have the
following results:
• Each base Surface area = π(R² - r²) sq. units
• Total Surface Area
= External Surface Area + Internal Surface Area+ base Surface
area
= 2 x πRh + 2 x πrh + 2 x π(R² - r²)
=2πRh + 2πrh + 2π(R² - r²)
= 2π(R +r )h + 2π(R + r) (R - r)
= 2π(R + r) ( h + R - r) sq. units

6. 1. A right circular cylinder has base radius
14 cm,and height 21cm.find
1) area of base or area of each end.
2) curved surface area
2. The total surface area of a cylinder is
231 cm2. Its curved surface is 2/3 of the
total surface .Determine the radius and of
its base and height
1. A hollow cylindrical pipe has inner circumference
44 dm and outer 45 dm .find the cost of painting it
from both sides at Rs 2 per m2, if its length is 3.5m
2. The total surface area of a hollow cylinder ,open at
both ends of external radius 8cm and height 10 cm is
338π.taking r to be inner radius ,,find the thickness of
the metal of the cylinder
One who asks doubts remains a fool for for minutes one
who does’t ask remain a fool for ever- rahul
Thank You for watching our presentation
Group members:-
Sankalp R Angadi
Rahul R
Sudendra R
Sam Richard
Manikanta