The document is a power point presentation on calculating the total surface area of a cylinder. It defines total surface area as the sum of the base area and curved surface area. The base area is equal to the area of a circle, which is πr2. The curved surface area is equal to the area of a rectangle with length 2πr and height h. Therefore, the total surface area of a cylinder is equal to 2πr(r + h).

1. •
POWER POINT

2. WELCOME

3. Presented by,
Name : Anitha Mathew
Reg No :
Subject : Mathematics

4. Name of the teacher trainee : Anitha Mathew
Standard : IX
Subject : Mathematics
Unit : Solids
Topic : Total Surface area of
cylinder

5. TOTAL SURFACE AREA OF A CYLINDER

6. •Total Surface Area of the Cylinder is
the sum of its Base Area and Curved
Surface Area
•Total Surface Area = Base Area +
Curved Surface Area

7. •The Base of the Cylinder is Circular in Shape

8. •Base Area = Area of Circle
= 𝜋𝑟2

9. •When Stretching Curved Surface of a
Cylinder , It is in rectangular shape

10. •Curved Surface Area = Area of the rectangle
= 2𝜋𝑟ℎ
2𝜋𝑟
ℎ

11. Total Surface area = 2 x Base Area +
Curved Surface Area
= 2𝜋𝑟2
+ 2𝜋𝑟ℎ
= 2𝜋r(r + h)

12. Total Surface area of cylinder
= 2𝜋r(r + h)