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,