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10 September, 17:37

A cone has a diameter of 6 centimeters and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

one over three (3.14) (3cm) 2 (18cm)

one over three (3.14) (6cm) 2 (18cm)

one over three (3.14) (18cm) 2 (3cm)

one over three (3.14) (18cm) 2 (6cm)

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  1. 10 September, 20:00
    0
    The volume of the cone is calculated by the formula:

    V = B*H/3

    r=D/2 = 6/3 = 2

    where B is surface area of basis and H is height.

    B is circle which fomula for surface is:

    B = r^2 * pi = 3^2*3,14 = 9*3,14 = 28.26

    from condition of height we write:

    H = 3*D = 3*6 = 18

    now volume is:

    If we express all of that in equation of volume we get:

    V = 1/3 * 3^2*3,14*18

    Answer is first option.
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