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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

Cones

Volume of cylinder= r 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?

8cm24cmVolume of cylinder= r h

Calculate the volume of the Pringle can:Volume = x (4) x 24

= 384 = 1205.76 cm

25cm28cmWhat is the volume of the cylinder? RevisionVolume of cylinder= r h

Volume = x (12.5) x 8

= 1250 = 3925 cm

3Cones

Aim : To calculate the volume of a cone

Real life Cones

5Cones

PringlesA third of the caloriesA 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??63( V ) = r2hrhhrVolume of a ConeClick to See the experimentHere the vertical height and radius of cylinder & cone are same. 3( volume of cone) = volume of cylinder V = 1/3 r2hIf 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 VolumeV = r 2 HV = (4.3)2(6.7)V = 41.29 (exact)V = 129.73 (approx)

6.74.3Question?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 = pr2h= 3.14(1)2(2)= 6.28 m3 Volume of a Cone = (1/3) pr2h= (1/3)(3.14)(1)2(2)= 2.09 m3

Making Connections