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
Given; volume = 9856 cubic cm, d = 28 cm so, r = 14 cm
Volume of cone = 1/3 π r2 h
Or, 9856 = (1/3) X (22/7) X 142 X h
Or, h = (9856 X 3 X 7)/(22 X 196) = 48 cm
Slant Height:
Here; l2 = h2 + r2
= 482 + 142 = 2500
Or, l = 50 cm
Curved surface area of cone = π rl
= (22/7) X 14 X 50 = 2200 sq cm
