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31 May, 05:53

a container for a hanging plant is a half sphere with a diameter of 9 inches. about how much soil does the container hold

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Answers (2)
  1. 31 May, 05:55
    0
    190.9 in³

    Step-by-step explanation:

    Whenever one is asked to find how much (quantity of something) a certain container can hold, all you need to understand is that you are been asked about the volume of that container

    We all know that the volume of a sphere is 4/3 * 22/7 * r³

    And since we are dealing with a container in the shape of half a sphere, the volume of that container will now be volume of a sphere divided by 2

    If the formula that was given initially was divided by 2, the new formula will look like this:

    4/6 * 22/7 * r³

    And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2

    That is 9/2 = 4.5

    Putting the values in the formula, we can now derive the volume of that sphere

    4/6 * 22/7 * 4.5³

    = 190.9 in³ of soil
  2. 31 May, 06:13
    0
    190.87 cubic inches

    Step-by-step explanation:

    A sphere is three-dimensional a ball-shaped object. It's volume is calculated using the formula:

    V = 4/3πr^3

    Where V = Volume of sphere

    π (pie) = 22/7 (constant)

    r = diameter : 2 i. e. 9/2 = 4.5inches

    Hence, to calculate the volume of the sphere, we slot in the values into the formula;

    V = 4/3 * 22/7 * 4.5^3

    V = 1.333 ... * 3.142 * 4.5 * 4.5 * 4.5

    V = 381.753

    Thus, the volume of the sphere is 381.753 cubic inches.

    However, according to the question, the container is a hemisphere i. e. half of a sphere. Therefore, to get the volume of soil in the container, we divide the volume of the sphere by 2;

    381.753 : 2

    = 190.87

    Hence, the volume of the soil in the hemispherical container is 190.87 cubic inches (in^3)
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