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16 May, 05:46

12.

A cylinder has a volume of 363 cubic meters. The diameter of the cylinder is 9 meters. Find the height of the cylinder.

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  1. 16 May, 07:17
    0
    h = 5.705m

    Step-by-step explanation:

    Volume of a cylinder

    V = πr^2h

    V - volume of the cylinder

    π - pie

    r - radius of the cylinder

    h - height of the cylinder

    Given:

    V = 363 cubic meters

    d = 9m

    h = ? m

    d = 2r

    d - diameter

    r - radius

    r = d/2

    r = 9/2

    π - 3.142

    Insert the values into the formula of volume of cylinder

    V = πr^2h

    363 = 3.142 * (9/2) ^2 * h

    363 = 3.142 * 81/4 * h

    363 = 63.6255h

    Divide both sides by 63.6255 to get the value of h

    363/63.6255 = 63.6255h/63.6255

    5.705 = h

    h = 5.705m
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