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16 June, 01:42

A dome-shaped structure is in the shape of a half-sphere. The diameter of the dome is 30 yards long, as shown below. What is the volume inside the dome? Explain how you got your answer.

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  1. 16 June, 02:05
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    volume = 7065 yards³

    Step-by-step explanation:

    The dome shaped structure is in the shape of a half sphere. The diameter is given as 30 yards. The dome is half of a sphere which means it is an hemisphere.

    The volume inside the dome is the volume of the hemisphere.

    volume of the dome = 2/3πr³

    volume = ?

    r = radius

    diameter = 30 yards

    r = 30/2 = 15

    volume = 2/3 * π * 15³

    volume = 3375 * 2/3 * π

    volume = 6750/3 * π

    volume = 2250π

    volume = 2250 * 3.14

    volume = 7065 yards³
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