A serni-circular sheet of metal of diameter 28 cm is henl into an open – InterviewSolution

1.	A serni-circular sheet of metal of diameter 28 cm is henl into an open couical cup.Find the depth and capacity of the cup
Answer» Radius, r = 14 cmCircumference of semi circle = πr= (22/7) x 14 = 44 cmThis becomes circumference of base of cone2πR = 44R = 44 x (7/44)R = 7 cmThe radius of semi circular sheet = slant height of conical cupThat is l = 7 cmWe know that r2+ h2= l2142+ h2= 72196 – 49 = h2h2= 147Therefore, h = 7√3 cmThat is depth of the conical cup is 7Ö3 cmCapacity of cup = (1/3)πr2h = (1/3) x (22/7) x 72x 7√3 = 622.37 cu cm

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