Question

prove that curve surface area of a cone is

$\pi \times r \times l$

Answer 1

Curved surface area=Area of sector OAA′Curved surface area=(Arc length of sectorCircumference of circle)×Area of circleCurved surface area=2πr2πl×πl2=πrl

            Where
l= slant height of the cone
r= radius of the base of the cone
$\pi\times r\times|$

Answer 2

The surface area of a cone is equal to the curved surface area plus the area of the base: πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone

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