Find the maximum volume of a cone that can be curved out of a solid hemisphere of a radius r

Find the maximum volume of a cone that can be curved out of a solid he

1.	Find the maximum volume of a cone that can be curved out of a solid hemisphere of a radius r
Answer» Radius of the base of cone= Radius of the hemisphere =rHeight of cone= Radius of the hemisphere Volume of the cone1/3pie(r)²r=1/3pie*(r)³