Frustum of a cone: formation and formulas ( slant height: volume: CSA: TSA)

Cone: slant height: volume: CSA: TSA

Hemisphere: volume: CSA: TSA

Cylinder: volume: CSA: TSA

Cone and Frustum

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is

A right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular to its axis. The volume of the smaller cone and the frustum of the cone are in the ratio 64 : 61. Then their curved surface areas are in the ratio

Find the height of a cone of radius 5 cm and slant height 13 cm.

The radii of the circular ends of a frustum of a cone are 14 cm and 8 cm. If the height of the frustum is 8 cm, find (i) slant height of frustum (ii) total surface area of frustum (iii) Volume of frustum, (pi=3.14)

The height of a cone is 21 cm and its slant height is 28 cm. The volume of the cone is