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) radius 7 cm, slant height 25 cm
Answer: Given; r = 7 cm, l = 25 cm
Here; h2 = l2 - r2
= 252 - 72
= 625 – 49 = 576
Or, h = 24 cm
Volume of cone = 1/3 π r2 h
= (1/3) X (22/7) X 72 X 24 = 1232 cubic cm
= 1.232 litre
(ii) height 12 cm, slant height 13 cm
Answer: Given; h = 12 cm, l = 13 cm
Here, r2 = l2 - h2
= 132 - 122
= 169 – 144 = 25
Or, r = 5 cm
Volume of cone = 1/3 π r2 h
= (1/3) X (3.14) X 52 X 12 = 314 cubic cm
= 0.314 litre
