Example:Find the volume of a cone whose altitude is 2'6" andwhose base has a radius of 10".= 3141.6 cubic inchesVolume of a PyramidwhereV =A =h=Example:Volume in cubic unitsArea of a base in square unitsAltitude in linear unitsFind the volume of a rectangular pyramid whose base is3" x 4" and whose altitude is 6".Area of the base= 3 x 4 = 12 square inchesVolume of a CylinderwhereV =A =h=r=d =Example:Volume in cubic unitsArea of the base in square unitsAltitude in linear unitsRadius of the baseDiameter of the baseFind the volume of a cylindrical tank whose diameter is9’6“ and whose height is 11' 6".Volume of the Frustum ofa Right Circular ConeThe frustum of a cone is formed when a plane ispassed parallel to the base of the cone. The frustum isthe portion below base CD. The altitude of the frustumis the perpendicular distance between the bases.whereh =r =R =Example:Altitude in linear unitsRadius of the upper base in linear unitsRadius of the lower base in linear unitsFind the volume of a conical shaped container whosedimensions are indicated in the drawing.V = l/3nh(# + R^{2 }+ Rr)V = l/3n15(62 + 122+ 6 x 12)V = 5n(36+ 144+ 72)V = 5x(252)V = 3956.4 cubic inchesVolume of a Frustum of a Regular PyramidA frustum of a pyramid is formed when a plane ispassed parallel to the base of the pyramid. The frustumAII-19

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