The volume of a right circular cone is 9856 `c m^3` . If the diameter of the base is 28cm, find: (i) height of the cone (ii) slant height of the cone (iii) curved surface area of the cone.

Explanation

given radius `r=d/2=28/2=14cm`

volume of a right circular cone `= 9856cm^3`

or, `(1/3)pi(r^2)h=9856cm^3`

`h=48cm`

(i) height of the cone`=48cm`

(ii) slant height of the cone `l=(r^2+h^2)^(1/2)`

`l=(14^2+48^2)^(1/2)`

`l=50cm`

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