Mathematics
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume be of the volume of the given cone, at what height above the base is the section cut?
Related Questions
The volume of a right circular cone is 9856 cm3 and the area of its base is 616 cm2. Find
(i) the slant height of the cone.
(ii) total surface area of the cone.
The perimeter of the base of a cone is 44 cm and the slant height is 25 cm. Find the volume and the curved surface of the cone.
A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the cone so formed. (Take π = 3.14)
A semi-circular lamina of radius 35 cm is folded so that the two bounding radii are joined together to form a cone. Find :
(i) the radius of the cone.
(ii) the (lateral) surface area of the cone.