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Surface area of cylinder: Objectives: At the end of the lesson the students should be able; To find the surface area of 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. 2 base altitude radius base

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…. 3 2Πr2 Circumference of the base h

How can we solved the surface area of a Cylinder? 4 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. SA= area of 2 circular bases + are of a rectangle OR We derived at this formula..!! SA=2Πr2 +2Πr Or SA=2Πr (r + h) Curved surface area=2Πrh

5 To find the surface area of a shape, we calculate the total area of all of the faces. A cuboid has 6 faces. The top and the bottom, front and the back, of the cuboid have the same area. We can find the formula for the surface area of a cuboid as follows.

Surface area of a cube 6 All six faces of a cube have the same area. The area of each face is x × x = x2 Therefore,

THE HEIGHT OF A CONE IS THE PERPENDICULAR DISTANCE BETWEEN THE VERTEX AND THE BASE. THE SLANT HEIGHT OF A CONE IS THE DISTANCE BETWEEN THE VERTEX AND A POINT ON THE BASE EDGE. A CONE HAS A CIRCULAR BASE AND A VERTEX THAT IS NOT IN THE SAME PLANE AS A BASE. IN A RIGHT CONE, THE HEIGHT MEETS THE BASE AT ITS CENTER. Lateral Area of a Cone Since Lateral Area = Surface Area – area of the bas L.A=

Surface Area = area of base + area of sector = area of base + π(radius of base)(slant height) 8

9 Hemisphere: (Surface Area of a Sphere) &C.S.A = 4 π r2 Surface Area of a hemisphere =3 π r2 Curved surface area= 3 π r2

What is Volume? 10 The volume of a three-dimensional figure is the amount of space within it. Measured in Units Cubed (e.g. cm3) 1.Volume - The volume of a three-dimensional figure is the amount of space within it. 2.Measured in Units Cubed (e.g. cm3) 3.Volume and capacity are related. 4.Capacity is the amount of material (usually liquid) that a container can hold. 5.Capacity is measured in millilitres, litres and kilolitres. Examples of Capacity:

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Volume of cylinder: 12 Пr h h B r Volume of Cone: Volume of a Cuboid: Volume of a Cube: 1/3Пr h l*b*h a

Volume of a sphere of radius: r=4/3Пr Volume of a Hemisphere: 2/3Пr 13 3

THANK YOU! 14