Question

Find curved surface area of a cone in terms of its radius when height is equal to radius?

Answer 1

Answer:

π√2 r²

Step-by-step explanation:

Given :

height of cone = radius of cone

To find :

curved surface area of a cone in terms of its radius

Formula used :

curved surface area of a cone = πrL

( r= radius , L = slant height)

slant height = √h²+r²

Solution :

slant height = √h²+r² ( h =r)

L = √2 r

curved surface area of a cone (CSA) = πrL

(CSA) = π ×r× √2 r

(CSA) = π√2 r²

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Answer 2

Answer :

csa = π√2r²

Step-by-step explanation:

csa of cone = πrl

given condition height is equal to radius

l = √h²+r²

l = √ r²+r²

l = √2r²

l = √2r

put value of l in formula

csa = πr(√2r)

csa = π√2r²