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Yummy Yummy Think about this for homework . A Can of Pringles has a height of 24 cm and a diameter of 8 cm. Find the volume of this can? . Volume of cylinder = r² h. Calculate the volume of the Pringle can :. 8cm. 24cm. Volume of cylinder = r² h. - PowerPoint PPT Presentation
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Volume of cylinder
= r² h
Yummy YummyThink about this for homework
• A Can of Pringles has a height of 24 cm and a diameter of 8 cm. Find the volume of this can?
8cm
24cm
Volume of cylinder
= r² h
Calculate the volume of the Pringle can:
Volume = x (4)² x 24
= 384 = 1205.76 cm³
25cm2
8cm
What is the volume of the cylinder?
RevisionVolume of cylinder
= r² h
Volume = x (12.5)² x 8
= 1250 = 3925 cm³
Cones• Aim : To calculate the volume of a cone
Real life Cones
Cones A fact:If Pringles came in a
cone, which was the same
height and diameter as the tall
tube, it would
contain one third
of the calories!!!
Why??
3( V ) = π r2h
r
h h
r
Volume of a Cone Click to See the experiment
Here the vertical height and radius of cylinder & cone are same.
3( volume of cone) = volume of cylinder
V = 1/3 π r2h
If both cylinder and cone have same height and radius then volume of a cylinder is three times the volume of a cone ,
Volume = 3V Volume =V
The Cone (recap)
A Cone is a three dimensional solid with a circular base and a curved surface that gradually narrows to
a vertex.
Volume of a Cone=
+ + =
Find the Volume…
V = ⅓ π r 2 HV = ⅓ π (4.3)2(6.7)V = 41.29π (exact)V = 129.73 (approx)
6.7
4.3
Question?
You work at a local ice cream parlor making waffle cones. If a finished cone is 15cm. high and has a base diameter of 9cm. what is the volume of the cone?
Volume of a Cone=
V= 1/3 (4.5)2 15
= 1/3 303.75 = 1/3 953.78
= 317.93 cm3
Now its your turn!
Find the volume of a cylinder with a radius r=1 m and height h=2 m.
Find the volume of a cone with a radius r=1 m and height h=1 m
Volume of a Cylinder = base x height = r2h
= 3.14(1)2(2)
= 6.28 m3
Volume of a Cone = (1/3) r2h
= (1/3)(3.14)(1)2(2)
= 2.09 m3
Making Connections