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A cone has two parts, namely the base and the lateral. h is the height of the cone, r is the radius of the base, and s is the slant height.

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Presentation on theme: "A cone has two parts, namely the base and the lateral. h is the height of the cone, r is the radius of the base, and s is the slant height."— Presentation transcript:

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4 A cone has two parts, namely the base and the lateral. h is the height of the cone, r is the radius of the base, and s is the slant height.

5 A cylinder has three parts, namely the flat top, flat base and the lateral. h is the height of the cylinder and r is the radius of the base.

6 r is radius of sphere and p is point centre.

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10  Look at the net of the cylinder below. The total surface area can be found by adding all the three areas.

11 Total surface area = Lateral area + (2Xbase area)

12  A cone has two parts, namely the base and the lateral.  On Figure, t is the height of the cone, r is the radius of the base, and s is the slant height.

13  If the cone is cut along the slant s and its base, we will get the cone net which consists of sector which has radius s and a circle with radius r, as shown:

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15  How do you find the surface area of a sphere?  The surface area of sphere same with the lateral of Cylinder. Surface area of Sphere = Lateral area of cylinder = 2πrh = 2πr X 2r S = 4πr ₂

16  Determine the total surface area of this cylinder.

17  Find the volume and the total surface area of each of the following cones. (π = 3.14)

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20 Do you remember about the formula of pyramid? Volume of pyramid = 1/3 x Area of Base x Height Because the cone base is a circle with radius r, then Area of Base = π r 2

21 Actually the cone is a pyramid, because have top point. (titik puncak) and altitude. But the cone’s base is a circle with radius r, So the Area of Circle = π r 2 (base of cone)

22 From this process so the volume of cone is same as volume of pyramid. Volume of cone = 1/3 Area of Base x Height = 1/3 x π r 2 x h Therefore the Volume of Cone = 1/3 π r 2 h

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24 Volume of Cylinder Actually the cylinder is a prism, because the base and top side are parallel and congruent. But the cylinder have base a circle Let’s we see this pictures So the volume of prism = volume of cylinder Can you compare them ?

25 Volume of Cylinder = Volume of Prism = Hence the volume of cylinder = π r 2 x h Area of Base x Height =  r.r x h = Area of Base x Height π r 2 x h Because the cylinder’s base is a circle so the base area is  r.r

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27 Find the Volume of Sphere Prepare the instrument and materials : Scissor, Cutter, Rice, Plastic ball 1.Cut the ball become 2 parts 4. Repeat until all of hemisphere is full flat. And note it. 3. Fill the cone by rice until full flat. And pour to the one of hemisphere 2. Make a cone by the height and the radius same with radius of ball The ways...........

28 Volume of Sphere Height of cone = radius of sphere = r

29 Volume of Sphere From theis activity we see that volume of rice that poured to hemisphere is not change. It means that the volume of hemisphere = 2 times of cone Volume of cone = 1/3 π r 2 h(h=r) = 1/3 π r 2 r Volume of hemisphere = 2 x 1/3 π r 2 rso Volume of Sphere = 4 x 1/3 π r 2 r = 4/3 π r 3

30 Design The Cone Picture 1.Make an ellipse 2.Find and mark the centre point of ellipse 3.Make an altitude 4.Mark this end point of altitude by O. 5.Connect the O lie ellipse o

31 Design The Cylinder Picture 1.Make an ellipse 2.Make parallel line that lie side of ellipse 3.Make ellipse once again to upward.

32 Design The Sphere Picture 1.Make an circle 2.Find and mark the centre point of circle. 3.Make ellipse from centre point of circle


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