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7 February, 11:58

A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for pi.

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  1. 7 February, 12:34
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    2.86cm

    Step-by-step explanation:

    Step 1:

    Data obtained from the question. This includes the following:

    Volume (V) = 187cm3

    Height (h) = 7.3cm

    Pi (π) = 3.14

    Radius (r) = ... ?

    Step 2:

    Determination of the radius of the cylindrical water bottle.

    The radius of the cylindrical water bottle can be obtained as follow:

    V = πr^2h

    187 = 3.14 x r^2 x 7.3

    Divide both side by 3.14 x 7.3

    r^2 = 187 / (3.14 x 7.3)

    Take the square root of both side

    r = √[187 / (3.14 x 7.3) ]

    r = 2.86cm

    Therefore, the radius of the cylindrical water bottle is 2.86cm
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