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25 March, 02:10

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi.

a. 4 inches

b. 6 inches

c. 8 inches

d. 10 inches

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Answers (2)
  1. 25 March, 02:12
    0
    Volume of cone = 1/3 pi r^2^h

    104.67 = 1/3 x 3.14 x 4 x r^2

    r^2 = 104.67/4.187 = 25

    r = sqrt (25) = 5 inches

    diameter = 2r = 2 (5) = 10 inches.
  2. 25 March, 02:22
    0
    The volume of a cone is calculated by multiplying the area of the base and the height divided by 3. It is expressed as follows:

    V = πr² (h/3)

    We calculate as follows:

    104.67 = πr² (4/3)

    r = 5.00 in

    D = 2r = 2 x 5.00 = 10.00 inches
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