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14 June, 13:39

A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take to haul away the

earth using a dump truck with a capacity of 9 cubic yards?

trips =

+5
Answers (1)
  1. 14 June, 16:45
    0
    12 trips

    Step-by-step explanation:

    Given;

    Dimension of cone shapef pile of earth;

    height h = 12 ft = 4 yards

    diameter d = 30 ft = 10 yards

    radius r = d/2 = 10/2 = 5 yards

    The volume of a cone V;

    V = (1/3) πr^2 h

    Substituting the given values;

    V = (1/3) * π * 5^2 * 4 cubic yards

    V = 104.72 cubic yards

    Given that a dump truck have a capacity of 9 cubic yards.

    Vc = 9 cubic yards

    Number of trips it will take is;

    N = Volume of earth pile/truck capacity

    N = V/Vc

    Substituting the values;

    N = 104.72/9

    N = 11.64

    N ≈ 12 trips

    Therefore, the truck will make 12 trips
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