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21 September, 04:53

In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of 12 inches. Approximately how much space does each canister need filled with confetti?

A

452 in3

B

509 in3

C

905 in3

D

7,238 in3

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Answers (1)
  1. 21 September, 05:06
    0
    C. 905 in³

    Step-by-step explanation:

    This problem bothers on the mensuration of solid shapes, sphere

    We know that the volume of a sphere is expresses as

    V = 4/3πr³

    Given that the diameter of the sphere is 12inches

    Radius r = 12/2 = 6 inches

    Substituting our radius we can solve for the volume

    V=4/3 (3.142*6³)

    V = (4*3.142*216) / 3

    V = 2714.68/3

    V = 904.9in³

    Approximately V = 905in³
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