Question

The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find

(i) height of the cone

(ii) slant height of the cone

(iii) curved surface area of the cone

Answer 1

(i) Radius of cone =

Let the height of the cone be h.

Volume of cone = 9856 cm³

h = 48 cm

Therefore, the height of the cone is 48 cm.

(ii) Slant height (l) of cone

Therefore, the slant height of the cone is 50 cm.

(iii) CSA of cone = πrl

= 2200 cm²

Therefore, the curved surface area of the cone is 2200 cm².