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FINDING THE VOLUME OF A CONE
Drill
Find the product of the ff.
1.1/3 x 8
2.1/3 x 5
3.1/3 x 3.14 x 3
4.1/3 x 22/7 x 6
5.1/3 x 3.14 x 2
Review
Review:
Look at the illustrations below.
Which cylindrical will hold more
water? Show your solutions.
lesson’s objective.
Finds the volume of
cones
M6ME-IVb-97
What kinds of things
can you think of, in
real life, when you hear
the word cone?
At Five-six convenience store, you
can buy a Big Gulp or a Little Gulp
juice. The Big Gulp comes in a
can, while the Little Gulp is
served in cone.
How many bases does a cone
have? What is the shape of the
base of the cone? The Big Gulp
and Little Gulp containers have
equal radii (plural of radius) and
equal heights. So, it takes three
Little Gulps to fill one Big Gulp.
Little Gulps to fill one Big Gulp.
What fraction of the volume of
the Big Gulp is the volume of
Little Gulp?
The volume of cones is 1/3 the
volume of a cylinder with same
base area (B) and height (h)
The formula for the volume of
cone is 1/3 the base (B) times the
height (h)
V=1/ 3 x Bxh or 1/ 3 x r2xh
Group Activity
1) Distribute a cone to each group.
2) Let them measure the height and
the radius of each cone in cm.
3) Let them solve for the volume of
their cone using the formula.
4) Group sharing follows afterwards.
1. Calculate the volume if
r = 2 cm and h = 3 cm
2. Calculate the volume if
r = 4 cm and h = 2 cm
Pair-share:
1. Vcone = 12.56 cm3
2. Vcone = 33.49 cm3
Answer:
Individual practice:
1.Find the volume of a cone, if
radius is 4 cm and height is 9 cm.
2. Find the volume of a cone which
has the base radius of 8 cm and
height 10.24cm
Solution:
1. Radius r= 4 cm
Height h= 9 cm
Using the volume of a cone formula,
Volume of cone =
Volume of cone = 1/3 x 3.14 x 4² x 9 = 150.72 cm³
2.
How can you find
the volume of a
cone?
a cone?
You can calculate the volume of a
cone easily once you know its
height and radius and can plug
those measurements into the
formula for finding the volume of
a cone. The formula for finding
the volume of a cone is
v = hπr2/3 or
Find the exact volume of each
cone:
Fill in the blanks:
1)diameter=16 radius = _____
height = 2.6 m Volume = _____
2)diameter = 14 cm, radius =
_____, height = 5.1 cm, Volume =
_____
3)diameter= 24, r = _____, h = 2.1
m, V = _______

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Finding the volume of a cone.pptx

  • 1. FINDING THE VOLUME OF A CONE
  • 3. Find the product of the ff. 1.1/3 x 8 2.1/3 x 5 3.1/3 x 3.14 x 3 4.1/3 x 22/7 x 6 5.1/3 x 3.14 x 2
  • 5. Review: Look at the illustrations below. Which cylindrical will hold more water? Show your solutions.
  • 6. lesson’s objective. Finds the volume of cones M6ME-IVb-97
  • 7. What kinds of things can you think of, in real life, when you hear the word cone?
  • 8. At Five-six convenience store, you can buy a Big Gulp or a Little Gulp juice. The Big Gulp comes in a can, while the Little Gulp is served in cone. How many bases does a cone have? What is the shape of the base of the cone? The Big Gulp and Little Gulp containers have equal radii (plural of radius) and equal heights. So, it takes three Little Gulps to fill one Big Gulp.
  • 9. Little Gulps to fill one Big Gulp. What fraction of the volume of the Big Gulp is the volume of Little Gulp? The volume of cones is 1/3 the volume of a cylinder with same base area (B) and height (h) The formula for the volume of cone is 1/3 the base (B) times the height (h) V=1/ 3 x Bxh or 1/ 3 x r2xh
  • 11. 1) Distribute a cone to each group. 2) Let them measure the height and the radius of each cone in cm. 3) Let them solve for the volume of their cone using the formula. 4) Group sharing follows afterwards.
  • 12. 1. Calculate the volume if r = 2 cm and h = 3 cm 2. Calculate the volume if r = 4 cm and h = 2 cm Pair-share:
  • 13. 1. Vcone = 12.56 cm3 2. Vcone = 33.49 cm3 Answer:
  • 14. Individual practice: 1.Find the volume of a cone, if radius is 4 cm and height is 9 cm. 2. Find the volume of a cone which has the base radius of 8 cm and height 10.24cm
  • 15. Solution: 1. Radius r= 4 cm Height h= 9 cm Using the volume of a cone formula, Volume of cone = Volume of cone = 1/3 x 3.14 x 4² x 9 = 150.72 cm³ 2.
  • 16. How can you find the volume of a cone?
  • 17. a cone? You can calculate the volume of a cone easily once you know its height and radius and can plug those measurements into the formula for finding the volume of a cone. The formula for finding the volume of a cone is v = hπr2/3 or
  • 18. Find the exact volume of each cone:
  • 19. Fill in the blanks: 1)diameter=16 radius = _____ height = 2.6 m Volume = _____ 2)diameter = 14 cm, radius = _____, height = 5.1 cm, Volume = _____ 3)diameter= 24, r = _____, h = 2.1 m, V = _______