1. Cone, Cylinder, and Sphere
Created by:
Nurina Ayuningtyas
Wahyu Fajar S.
Yan Aditya P
Yola Yaneta H

3. 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.

4. 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.

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

6. Nets of Cone

7. Nets of Cylinder

8. Find formulas of the surface area
of cylinder, cone, and sphere

9. Surface area of Cylinder
• Look at the net of the cylinder below. The
total surface area can be found by adding all
the three areas.

10. Total surface area = Lateral area + (2Xbase area)
2
2 rh 2 r
2 r (h r)

11. Surface area of Cone
• 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.

12. • 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:

14. Surface area of Sphere
• 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 = 4πr₂

15. Exercise
• Determine the total surface area of this
cylinder.

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

18. Volume of Cone

19. Find the formula
Do you remember about the formula of
pyramid?
Volume of pyramid = 1/3 x Area of Base x Height

20. Find the formula
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)

21. Find the formula
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

22. Volume of Cylinder

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

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

25. Volume of Sphere
r
r

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

27. Volume of Sphere
Height of cone = radius of sphere = r

28. 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
Volume of cone = 1/3 π r 2 h
cone (h=r)
= 1/3 π r 2 r
Volume of hemisphere = 2 x 1/3 π r 2 r so
Volume of Sphere = 4 x 1/3 π r 2 r
= 4/3 π r 3

29. Design The Cone Picture
o 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

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

31. 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