Surface Area of a Cylinder

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BAGO CITY COLLEGE :

BAGO CITY COLLEGE BAGO CITY COLLEGE OF EDUCATION

Topic :

Topic Surface Area of a cylinder:

Objectives :

Objectives At the end of the lesson the students should be able; To find the surface area of a cylinder ..

What is a cylinder? :

What is a cylinder? The term Cylinder refers to a right circular cylinder. Like a right prism, its altitude is perpendicular to the bases and has an endpoint in each base.

What will happen if we removed the end of the cylinder and unrolled the body? :

What will happen if we removed the end of the cylinder and unrolled the body? Lets find out !!!!

This will happen if we unrolled and removed the end of a cylinder…. :

This will happen if we unrolled and removed the end of a cylinder…. Circumference of the base h 2?r2

Notice that we had formed 2 circles and a 1 rectangle…. :

Notice that we had formed 2 circles and a 1 rectangle…. The 2 circles serves as our bases of our cylinder and the rectangular region represent the body

How can we solved the surface area of a Cylinder? :

How can we solved the surface area of a Cylinder? To solve the surface area of a cylinder, add the areas of the circular bases and the area of the rectangular region which is the body of the cylinder.

This is the formula in order to solved the surface are of a cylinder. :

This is the formula in order to solved the surface are of a cylinder. SA= area of 2 circular bases + are of a rectangle oR

We derived at this formula..!! :

We derived at this formula..!! SA=2?r2 +2?r Or SA=2?r (r + h)

Find the surface area of a cylindrical water tank given the height of 20m and the radius of 5m? (Use p as 3.14) :

Find the surface area of a cylindrical water tank given the height of 20m and the radius of 5m? (Use p as 3.14) Given: h=20m r=5m SA=2pr2 +2prh =2(3.14)(5m)2 + 2[(3.14)(5m)(20m) =157m2 + 628m SA =785m2

Presented by: Martinez, Jingle D.BSED Math 4 :

THANK YOu Presented by: Martinez, Jingle D.BSED Math 4 Presented to: Mr. Salazar, Salvador