Q18 of 48 Page 13

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

(i) The height of the cone


(ii) The slant height of the cone


(iii) The curved surface area of the cone

Concept Used: The volume of the right circular cone


Curved Surface Area of cone = πrl


Where r = radius of the base, l = slant height of the cone, and h = height of the cone.


Given: Diameter of the base = 28 cm


The volume of the cone = 9856 cm3


Explanation:


Radius


Radius = 14 cm


Let the height be h


Volume = 9856 cm3


r2h = 9856




h = 48 cm


(ii) Slant height (l) =


=


=


= 50 cm


(iii) CSA = πrl


C.S.A


C.S.A = 2200 cm2


Hence, Height of the cone is 48 cm, Slant height of the cone is 50 cm and Curved Surface area of the cone is 2200 cm2.


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