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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.
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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? Volume of cylinder = r² h
Calculate the volume of the Pringle can: 8cm 24cm Volume of cylinder = r² h Volume = x (4)² x 24 = 384 = 1205.76 cm³
Revision What is the volume of the cylinder? 25cm2 8cm Volume of cylinder = r² h Volume = x (12.5)² x 8 = 1250 = 3925 cm³
Cones Aim : To calculate the volume of a cone
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?? Pringles A third of the calories
Volume of a Cone Click to See the experiment h h Here the vertical height and radius of cylinder & cone are same. r r 3( volume of cone) = volume of cylinder 3( V) = π r2h 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 Coneis 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… 6.7 V = ⅓ π r 2 H V = ⅓ π (4.3)2(6.7) V = 41.29π (exact) V = 129.73 (approx) 4.3
Question? Volume of a Cone = 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? V= 1/3 (4.5)2 15 = 1/3 303.75 = 1/3 953.78 = 317.93 cm3
Now its your turn!
Making Connections 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