Question

A semi circular sheet of metal diameterv35cm is bent into a open conical cup ..find the depth of capacity of cup

Answer 1

Answer. Given diameter = 28 cmRadius, r = 14 cm Circumference of semi circle = πr = (22/7) x 14 = 44 cm This becomes circumference of base of cone 2πR = 44 R = 44 x (7/44) R = 7 cm The radius of semi circular sheet = slant height of conical cup That is l = 7 cm We know that r2 + h2 = l2 142 + h2 = 72196 – 49 = h2 h2 = 147 Therefore, h = 7√3 cm That is depth of the conical cup is 7Ö3 cm Capacity of cup = (1/3) πr2h                               = (1/3) x (22/7) x 72 x 7√3                               = 622.37 cu cm