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Volume of cylinder r² h 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?

Yummy Yummy Think about this for homework

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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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Page 2: Yummy  Yummy Think about this for homework

8cm

24cm

Volume of cylinder

= r² h

Calculate the volume of the Pringle can:

Volume = x (4)² x 24

= 384 = 1205.76 cm³

Page 3: Yummy  Yummy Think about this for homework

25cm2

8cm

What is the volume of the cylinder?

RevisionVolume of cylinder

= r² h

Volume = x (12.5)² x 8

= 1250 = 3925 cm³

Page 4: Yummy  Yummy Think about this for homework

Cones• Aim : To calculate the volume of a cone

Page 5: Yummy  Yummy Think about this for homework

Real life Cones

Page 6: Yummy  Yummy Think about this for homework

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??

Page 7: Yummy  Yummy Think about this for homework

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

Page 8: Yummy  Yummy Think about this for homework

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

Page 9: Yummy  Yummy Think about this for homework

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=

+ + =

Page 10: Yummy  Yummy Think about this for homework

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

Page 11: Yummy  Yummy Think about this for homework

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

Page 13: Yummy  Yummy Think about this for homework

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