Find the capacity in litres of a conical vessel with :

(i) radius 7 cm, slant height 25 cm

(ii) height 12 cm, slant height 13 cm.

i) we have,

radius of cone =7cm

slant height =25 cm

vertical height of cone h = √(25² – 7²) = √576 = 24 cm

hence capacity (volume) of cone = 1/3×22/7×49×24 = 1232 cm³

ii) we have,

height = 12 cm

slant height =13 cm

radius of cone r = √(13²-12²) = √25 = 5 cm

volume of conical vessel = 1/3×22/7×5×5×12 = 2200/7 = 314.28 cm³