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7 m24. An empty cylindrical container of radiusand height 10 m is covered by a conical cap ofradius 10.5 m and height 9 m. Calculate thevolume of the air trapped inside.9 m10 m10.5 m7m |
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Answer» Volume of cone = 1/3*22/7*10.5*10.5*9 = 1039.5now 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 = 6now,height of cylinder inside the cone is 3area of this cylinder = 22/7*7*7*3 = 462capacity of air inside the solid is 1039.5 - 462 = 577.5 |
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