Question

The total surface area of a right circular cone is 3300cm².and the radius of its base is 21cm.find the slant height.


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Answer 1

Answer:

let the slant height be l

and then refer to the above attachment for solution

Answer 2

Given:

The total surface area of a right circular cone is 3300cm²

The radius of its base is 21cm

To Find:

The slant height.

Solution:

The total surface area of a right circular cone is πr(l+r)

Where,

r is the radius

l is the slant height

According to question

The total surface area of a right circular cone = 3300cm²

⇒π×r×(l+r) = 3300

⇒π×21×(21+l) = 3300

⇒(22/7)×21×(21+l) = 3300

⇒21+l = 50

⇒ l = 29

Hence, the slant height of the circular cone is 29 cm.