An empty cylindrical container of radius 7m and height 10m is covered by a conical cap of radius 10.5m and height 9m . Find the volume of air trapped inside?
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Volume of cone = 1/3*22/7*10.5*10.5*9 = 1039.5
now the upper cone is similar to the bigger cone.So, by using similarity,
height of upper cone/height of bigger cone = radius of upper cone/radius of bigger cone i.e.
h/9 = 7/10.5 Thus,h = 6
now,height of cylinder inside the cone is 3
area of this cylinder = 22/7*7*7*3 = 462
capacity of air inside the solid is 1039.5 - 462 = 577.5
now the upper cone is similar to the bigger cone.So, by using similarity,
height of upper cone/height of bigger cone = radius of upper cone/radius of bigger cone i.e.
h/9 = 7/10.5 Thus,h = 6
now,height of cylinder inside the cone is 3
area of this cylinder = 22/7*7*7*3 = 462
capacity of air inside the solid is 1039.5 - 462 = 577.5
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