Volume of cylinders cones and spheres edmodo

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Volume of cylinders cones and spheres edmodo

  1. 1. CC.8.G.9 Volumes of Prisms, Cylinders, and Cones• Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
  2. 2. POD 6 Nov To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 15 meters south and 20 meters east. To the nearest meter: 1. How many meters is the path across the pond? 2. How many meters would be saved if it were possible to walk through the pond? NW E A S B a2 + b2 = c2
  3. 3. • Volume of a Prism V Bh h Volume Base Area Height Base Area Remember the “Base Area” formula will be determined by the base shape.
  4. 4. Find the Volume of the Prism• V = Bh 8 in 5 in 15 inV = (15 x 5) x 8V = 600 in3
  5. 5. Cylinders• What are some examples of cylinders?
  6. 6. • Volume of a CylinderBase Area Radius V Bh Volume Base Area Height h 2 B r Base Radius Area
  7. 7. #3 Finding the Volume of a Cylinder• Find the volume of a cylinder with 5 cm height 10 cm and radius 5cm. V Bh 10 cm 2 B r 3 3 V 250 cm or V 785 cm
  8. 8. #4 Finding the Volume of a Cylinder • Find the volume of the cylinder. V Bh 9 ft 2B r 6 ft 3 3V 324 ft or V 1017 . 36 ft
  9. 9. Dimensions of cylindrical fuel oil storage tanks according National Board Standards are indicated in the table below.Capacity Diameter Length Shell Thickness Head Thickness Weight(gallons) (inches) (Feet - Inches) (inches) (inches) (lb)550 48 6-0 3/16 3/16 8001000 48 10-10 3/16 3/16 13001100 48 11-11 3/16 3/16 1400 48 15-8 3/16 3/16 16501500 65 9-0 3/16 3/16 15002000 65 11-10 3/16 3/16 20502500 65 14-10 3/16 3/16 22753000 65 17-8 3/16 3/16 29404000 65 23-8 3/16 3/16 3600 72 23-8 1/4 1/4 58005000 84 17-8 1/4 1/4 5400 84 26-6 1/4 1/4 71507500 96 19-8 1/4 1/4 6400 96 26-6 1/4 5/16 854010000 120 17-0 1/4 5/16 8100 96 31-6 1/4 5/16 1050012000 120 20-8 1/4 5/16 9500 108 31-6 5/16 5/16 1330015000 120 25-6 5/16 5/16 1215020000 120 34-6 5/16 5/16 1550025000 120 42-6 3/8 3/8 2230030000 120 51-3 3/8 3/8 28000
  10. 10. Cones• What are some examples of cones?
  11. 11. Volume of a Cone 1 V Bh 3 Volume Height Base Area rB
  12. 12. #6 Finding the Volume of a Cone• The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume. 13 m 2B r 6m 3 3 V 156 m or V 489 .84 m
  13. 13. Spheres• What are some examples of spheres?
  14. 14. Volume of a Sphere 4 3V r 3 radius
  15. 15. Find the Volume of the Sphere r = 5m

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