An ice-cream cone full of ice-cream having radius 5 cm and height 10 cm as shown in figure


Calculate the volume of ice-cream, provided that its part is left unfilled with ice-cream.


As ice cream is a combination of hemisphere and cone


Radius of cone = radius of hemisphere = r = 5 cm


Height of cone, h = 10 cm


Volume of ice cream = volume of hemispherical part + volume of conical part






[ As Volume of cone = ,


where r is radius and h is height


And


volume of hemisphere ,


where r is radius]


Now, part of is left unfilled i.e. part is filled with ice-cream


Therefore,




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