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22 March, 22:17

Open cones are made from nets cut from a large sheet of paper 1.2m X 1.0m. If a cone has a radius of 6cm and a slant height of 10cm, how many cones can be made from the sheet? (Assume there is 5% wastage of paper)

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  1. 22 March, 22:30
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    R = 6 cm, l = 10 cm

    The lateral surface of cone:

    LSA = r l π = 6 · 10 · 3.14 = 188.4 cm²

    Area of a paper:

    A = 120 cm · 100 cm = 12 000 cm²

    (with 5 % waste) 12 000 · 0.95 = 11 400 cm²

    11 400 : 188.4 = 60.5

    Answer: 60 cones.
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