Q. 34.2( 15 Votes )

Curved surface ar

We have

Given: Curved surface area (CSA) = 251.2 cm2

Radius of the base of cone (r) = 8 cm

We know the formula of curved surface area of cone,

CSA = πrl

Where l = slant height of cone

251.2 = 3.14 × 8 × l

l = 10

So, we have found slant height of cone (l) = 10 cm

Now, using Pythagoras theorem in ∆AOB,

AB2 = AO2 + OB2

AO2 = AB2 – OB2

h2 = 102 – 82

h2 = 100 – 64

h = √36 = 6

Thus, slant height of cone is 10 cm and height of cone is 6 cm.

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