Lateral Surface Area of Frustum
Lateral Surface Area of Frustum
Lateral Surface Area of Frustum: if a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and base is called the frustum of the cone. Let "h" be the height, "l" the slant height and and
the radii of the ends
of the frustum of a cone.Then we can directly find the curved surface area using given formula: Curved surface area of the frustum of cone =
where
Example : The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
Solution: R and r be the radii of the ends of the frustum. and
i.e.,
and
Slant height l = 4cm.
Then, curved surface area
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