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Volume of spheres
 

Volume of spheres

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    Volume of spheres Volume of spheres Presentation Transcript

    • Volume of Spheres
      • Starter
        • A cone has a diameter of 16m and a slant height of 10m. Find the volume of the cone.
      April 13, 2010
    • Review
      • Volume of Square Pyramid
        • Related to volume of large cube
      • Volume of Cone
        • Related to volume of cylinder
    • Moving on…
      • How can we use the same idea to find the volume of a sphere?
    • Materials
      • Hemisphere with radius r
      • Cylinder with radius r and height 2r
      • Cone with radius r and height 2r
      • Rice
    • Procedure
      • Fill the hemisphere with rice.
      • Carefully pour the contents of the hemisphere into the cylinder. What fraction of the cylinder does the hemisphere appear to fill?
      • Fill the hemisphere again and pour the contents into the cylinder. What fraction of the cylinder do two hemisphere appear to fill?
    • Procedure
      • If the radius of the cylinder is r and the height is 2r, then what is the volume of the cylinder in terms of r?
      • The volume of the sphere is the fraction of the cylinder’s that was filled by two hemispheres. What is the formula for the volume of a sphere?
      • The volume of a sphere with radius r is given by the formula: V=4/3 π r 3
    • Procedure
      • Fill the hemisphere with rice.
      • Carefully pour the contents of the hemisphere into the cone. What fraction of the cylinder does the hemisphere appear to fill?
    • Procedure
      • If the radius of the cone is r and the height is 2r, then what is the volume of the cone in terms of r?
      • What is the formula for the volume of a sphere?
      • The volume of a sphere with radius r is given by the formula: V=4/3 π r 3