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12 March, 12:04

A company is designing a new cylindrical water bottle. The volume of the bottle will be 121 cmcubed. The height of the water bottle is 7.6 cm. What is the radius of the water bottle? Use 3.14 for pi.

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  1. 12 March, 12:10
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    The radius of the water bottle is 2.25 cm

    Step-by-step explanation:

    The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.

    Volume of a cylinder V = πr^2 h

    Where;

    h = height

    r = radius

    Making the radius the subject of formula;

    r^2 = V/πh

    r = √ (V/πh)

    Given:

    Volume V = 121 cm^3

    height h = 7.6 cm

    π = 3.14

    Substituting the given values;

    r = √ (121 / (3.14*7.6))

    r = 2.25 cm

    The radius of the water bottle is 2.25 cm
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