A cone has a perpendicular height of 12cm and slant height of 13cm . Calculate it's total surface area (take pie r =3.142)?

1 Answer
Ashley H
Aug 11, 2018

#282.78 cm^2#

Explanation:

For a cone, #l^2=r^2+h^2#, where, #l# is the slant height, #r# is radius and #h# is perpendicular height.

Given, #l=13cm,h=12cm#

So, #r=sqrt(13^2-12^2)=5cm#

Now, area of base of a cone is #pi r^2# and area of lateral surface is #pirl#

So,total area is #pi r^2 + pi rl#

i.e #pi r(r+l)=3.142×5×(5+13)=282.78 cm^2#

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