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5 August, 10:06

A cosmetic container in the shape of a cylinder has a diameter of 7 centimeters and a height of 3 centimeters. Which is closest to the volume of the container?

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  1. 5 August, 10:14
    0
    the closest to the volume of the container is 115.4 cm³

    Step-by-step explanation:

    To find the volume of the container, we simply use the formula for calculating volume of a cylinder;

    V = π r ² h

    Where π is a constant

    r is the radius and h stands for height.

    From the question given, diameter = 7 cm, but radius if half of the diameter, which implies; r = d/2 = 7/2 = 3.5 cm

    h = 3 cm π ≈3.14

    We can now proceed to insert our values into the formula;

    V = π r ² h

    ≈ 3.14*3.5² * 3

    ≈ 3.14 * 12.25 * 3

    ≈115.395

    ≈115.4 cm³

    Therefore the closest to the volume of the container is 115.4 cm³
  2. 5 August, 10:15
    0
    115.45cm³

    Step-by-step explanation:

    From the question, A cosmetic container in the shape of a cylinder has a diameter of 7 centimeters and a height of 3 centimeters. Which is closest to the volume of the container?

    The volume of a cylinder is pi * r² * h

    And if we were given the dimensions of the container as 7 and 3 (diameter and height of the cylinder respectively)

    We can now find the volume of that cylinder provided we convert the diameter to the radius.

    Diameter = radius * 2

    Radius = diameter/2

    7/2 = 3.5 (that is the radius)

    We can now solve for the volume now that we have the height and the radius of the cylinder

    V = 22/7 * 3.5² * 3

    =115.45cm³

    The closest volume of the cylinder is therefore 115.45cm³
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