This will help teacher applicants for their teaching demonstration. topic is about volume of cone. This will also help grade 6 math teachers in their COT

1. CEDRIC
FAJARDO BANICO
GOOD DAY!

2. Learning Outcomes
1
Derive the formula for
finding the volume of
cone
2
Demonstrates problem
solving attitudes

3. Learning Outcomes
3
Construct cone using
paper

4. Math Drill: Multiply Mentally
15 × 4
32
4 × 3 5 × 6
8 × 13

5. Unlocking Difficulties:

8. renowned as the “Perfect Cone”
because of its almost perfectly
conical shape. Located in
Legaspi City, Albay. Albay is a
province of the Philippines
located in the Bicol Region
(Region V) in Southeastern
Luzon Island.
Mayon Volcano

10. Short Story:
Marie attended a birthday party where all
children were given party hats and ice cream in
cones. One little girl accidentally dropped her ice
cream, so she started crying. Marie saw the
incident. She went over to the girl and gave her
ice cream. The little girl gave her a big smile and
said “thank you.” Marie was very happy.

11. Discussions:
a) What was the story all about?
b) Why was the little girl crying?
c) What did Marie do?
d) Why was Marie very happy?
e) If you were Marie, would you have done the same thing?
Why or why not?
f) What kind of solid figure was the container of ice cream?
g) If the cone has a height of 10 cm and a diameter of 5 cm,
what is its volume?
Do you know how to solve the problem? How?

14. Going back to our word problem
1 𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 2.5 × 2.5 × 10)
𝑉 =
1
3
(3.14 × 6.25 × 10)
𝑉 =
1
3
(3.14 × 62.5)
𝑉 =
1
3
(196.25)
𝑉 = 65.42𝑐𝑚3

15. Group activity:
1
2
A
B C
A cone has a height of 20 cm and a radius
of 12 cm. Compute its volume.
Find the volume of cone with height 7cm and
radius of base 3 cm.

16. Solutions
1 𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 12 × 12 × 20)
𝑉 =
1
3
(3.14 × 144 × 20)
𝑉 =
1
3
(3.14 × 2,880)
𝑉 =
1
3
(9,043.2)
𝑉 = 3,014.4𝑐𝑚3

17. Solutions
𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 3 × 3 × 7)
𝑉 =
1
3
(3.14 × 9 × 7)
𝑉 =
1
3
(3.14 × 63)
𝑉 =
1
3
(197.82)
𝑉 = 65.94𝑐𝑚3
2

18. Work by pair:
1
A
B C
Find the volume
Find the missing dimension
2
b) diameter = 14 cm, radius = _____, height = 5 cm, Volume = ____

19. Solutions
1 𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 6 × 6 × 10)
𝑉 =
1
3
(3.14 × 36 × 10)
𝑉 =
1
3
(3.14 × 360)
𝑉 =
1
3
(1,130.4)
𝑉 = 376.8𝑐𝑚3

20. Solutions
𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 7 × 7 × 5)
𝑉 =
1
3
(3.14 × 49 × 5)
𝑉 =
1
3
(3.14 × 245)
𝑉 =
1
3
(769.3)
𝑉 = 256.43𝑐𝑚3
2

21. Solve:

22. Solutions
1 𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 10 × 10 × 15)
𝑉 =
1
3
(3.14 × 100 × 15)
𝑉 =
1
3
(3.14 × 1500)
𝑉 =
1
3
(4,710)
𝑉 = 1,570𝑑𝑚3

23. Solutions
𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 1.5 × 1.5 × 2.7)
𝑉 =
1
3
(3.14 × 2.25 × 2.7)
𝑉 =
1
3
(3.14 × 6.08)
𝑉 =
1
3
(19.09)
𝑉 = 6.36𝑚3
2

24. Solutions
𝑉 =
1
3
𝜋𝑟2
ℎ
𝑉 =
1
3
(3.14 × 40 × 40 × 72)
𝑉 =
1
3
(3.14 × 1,600 × 72)
𝑉 =
1
3
(3.14 × 115,200)
𝑉 =
1
3
(361,728)
𝑉 = 120,576𝑐𝑚3
3

25. Generalization

26. Any Questions?

27. Solve:
1.Radius = 4.5cm and height = 13cm?
2.Radius = 2m and height = 5m

28. Math Challenge:
If the volume of the cone is
72,345.6𝑐𝑚3
and the diameter is
96𝑐𝑚. Find the radius and height.

29. Thank you and God bless!