Find the curved surface area of a right circular cone of height 15cm a

1.	Find the curved surface area of a right circular cone of height 15cm and base diameter is 16 cmFind the maximum volume of a cone that can be out of a solid hemisphere of radius r.
Answer» Let the radius of the hemisphere = r units Radius of the cone = radius of the hemisphere height of the cone = radius of the hemisphere h = r ----( 1 ) Therefore , Required maximum volume of the cone = ( 1/3 ) πr²h V = ( 1/3 ) × π × r² × r = ( 1/3 ) × πr³ cubic units

Find the curved surface area of a right circular cone of height 15cm and base diameter is 16 cmFind the maximum volume of a cone that can be out of a solid hemisphere of radius r.

Answer»

Let the radius of the hemisphere = r units

Radius of the cone = radius of the hemisphere

height of the cone = radius of the hemisphere

h = r ----( 1 )

Therefore ,

Required

maximum volume of the cone = ( 1/3 ) πr²h

V = ( 1/3 ) × π × r² × r

= ( 1/3 ) × πr³ cubic units