Question

(6) Prove that the lateral surface area of a right circular cone is πrl,
where r is the radius of the circular base and l is the slant height
of the cone.​

Answer 1

Answer:

o find the area of the sector of the circle forming the cone, we proceed as follows. Length of the arc P'Q' = 2πr. ∴ curved area of the model cone = πrl. The curved surface area of a right-circular cone having slant height l and radius of the base r is given by πrl

Answer 2

Step-by-step explanation:

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone. The curved surface area is also called the lateral area.