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Volume: Prisms and Cylinders

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Presentation transcript:

Stand Quietly

Students will be able to investigate on the volume of a cone. Lesson 8.2 Volume of a Cone Students will be able to investigate on the volume of a cone.

Warm-Up #29 (11/2/16) What is the volume of a cylinder if the height is 5 inches and the diameter of 5? Round to the nearest tenths. Find the height of a cylinder with volume 324𝜋 cm3 and radius of 6 cm. Round to the nearest hundredths.

Homework (11/2/16) Worksheet: Lesson 8.2 Volume of a Cone

Homework Solutions 6. 𝑎𝑏𝑜𝑢𝑡 785.4 𝑓𝑡 3 7. 𝑎𝑏𝑜𝑢𝑡 282.7 𝑚𝑚 3 8. 𝑎𝑏𝑜𝑢𝑡 12.6𝑓𝑡 3 9. 𝑎𝑏𝑜𝑢𝑡 791.7 𝑖𝑛 3 10. 𝑎𝑏𝑜𝑢𝑡 883.6 𝑚 3 11. 𝑎𝑏𝑜𝑢𝑡 804.2 𝑐𝑚 3 12. About 6032 gallons 13. About 5 ft 14. About 39 in 15. About 50 cm

Exploration What is the formula to find the volume of a cylinder? https://www.youtube.com/watch?v=xwPiA0COi8k https://www.youtube.com/watch?v=0ZACAU4SGyM What is the formula to find the volume of a cylinder? After watching the video, what do you think the formula to find the volume of a cone?

The Cone 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 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=2 m Volume of a Cylinder = base x height = pr2h = 3.14(1)2(2) About 6.28 m3 Volume of a Cone = (1/3) pr2h = (1/3)(3.14)(1)2(2) About 2.09 m3