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15 January, 09:40

Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height

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  1. 15 January, 13:17
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    Since there are no figures given, I will give an example.

    You are given a silo that is shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 6 ft, and the entire length of the silo is 10.5 ft. Suppose that you are asked to find the total volume of grains that can be stored in the silo.

    Given:

    Cylinder part

    D = 4 ft

    H = 6 ft

    Cone part

    H = 10.5 - 6 = 4.5ft

    D = 4ft

    Required:

    Volume of silo

    Solution:

    V of cylinder = πr²H

    V of cylinder = π (4/2) ² (6)

    V of cylinder = 75.4 ft³

    V of cone = πr²H/3

    V of cone = π (4/2) ² (4.5/3)

    V of cone = 18.85 ft³

    Total volume = 94.25 ft³
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