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11 April, 21:50

The birthday candle has the form of a cylinder and cone together, if its has a common radius of 5 mm. The height of cylinder is 20mm, and the height of cone is 8 mm. About how much soil does the container hold?.

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  1. 12 April, 01:15
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    1779.33 mm³

    Step-by-step explanation:

    We are given a candle in a form of a cylinder and a cone

    Dimensions;

    Common radius is 5 mm

    Height of the cylinder is 20 mm

    Height of the cone is 8 mm

    We are required to determine the amount that it can hold.

    To answer the question we are going to determine its volume

    Cylinder;

    Volume of a cylinder is given by;

    V = πr²H

    Taking π to be 3.14

    Then;

    Volume of cylinder = 3.14 * 5mm² * 20 mm

    = 1570 mm³

    Cone

    Volume of a cone is given by;

    V = 1/3πr²H

    That is;

    Volume = 1/3 * 3.14 * 5mm² * 8 mm

    = 209.33 mm³

    Therefore;

    Volume of the solid = 1570 mm³ + 209.33 mm³

    = 1779.33 mm³

    Thus, the volume of the solid is 1779.33 mm³
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