Question

Derivation of cones TSA and CSA formula​

Answer 1

Answer:

Step-by-step explanation:

Derivation:

In order to calculate the curved surface area and total surface area of a cone, we divide it into a circular base and the top slanted part. The area of the slanted part gives you the curved surface area. Total surface area is the sum of this circular base and curved surface areas.

Cone Formula

Area of the circular base:

The base is a simple circle and we know that area of a circle is given as:

Area of a circle=πr²

Where r is the base radius of the cone

Area of the curved surface:

Now if open the curved top and cut into small pieces, so that each cut portion is a small triangle, whose height is the slant height l of the cone.

So formula

Curved Surface Area (CSA) of Cone = πrl

Total Surface Area (TSA) of Cone = πr(l + r)

Hope it help❣️❣️❣️

Plz Mark me brainliest

Answer 2

Where, r is the base radius, h is the height and l is the slant height of the cone. Derivation: In order to calculate the curved surface area and total surface area of a cone, we divide it into a circular base and the top slanted part. ... Total surface area is the sum of this circular base and curved surface areas.

Curved Surface Area (CSA) of Cone = πrl

Total Surface Area (TSA) of Cone = πr(l + r)