CBSE BOARD X, asked by atifmalik68, 1 year ago

How to prove the csa of a cone

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Answered by abhishek5335
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Answered by Solved
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If a perpendicular cut is made from a point on the circumference of the base to the vertex and the cone is opened out, a sector of a circle with radius l is produced. Since, the circumference of the base of the cone is 2πr, therefore, the arc length of the sector of the circle is 2πr .

CSA=(Arc length of sector / Circumference of circle )×Area of circle
Curved surface area = 2πr/2πl × πl^2 = πrl
Where

l = Slant height of the cone
r = Radius of the base of the cone

To find the curved surface area of any cone, multiply the base radius of the cone by π and multiply your answer by the length of the side of the cone.


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