# The curved surface area of a cone is 2200 sq.cm and its slant height is 50 cm. Find the total surface area of cone.(π = 22/7)

Given: Curved surface area of cone (CSA) = 2200 cm2

Slant height of cone (l) = 50 cm

For total surface area, we have the formula

TSA = πrl + πr2

TSA = CSA + πr2 [, Curved surface area (CSA) = πrl] …(i)

Where, r = radius of the base of the cone

We have CSA, we just need to find radius of the base of the cone (r).

So, we know

CSA = πrl

Substituting values in above equation,  r = 14

Radius of the base of the cone = 14 cm

Thus, substituting value of CSA and r in equation (i), TSA = 2200 + 616

TSA = 2816

Thus, total surface area of cone is 2816 cm2.

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