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31 January, 00:46

These two cylinders are congruent. Cylinder A has a radius of 4 centimeters. Cylinder B has a volume of 176π cubic centimeters. What is the height of cylinder B?

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  1. 31 January, 02:32
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    It is given that both Cylinders A and B are congruent, thus, Cylinder B also has a radius of 4 centimeters. We now have the volume and the radius, which we will use to get the height of Cylinder B.

    r = 4cm

    V = 176π cubic cm

    From the formula Volume of a cylinder, we can derive a formula to get the height.

    From V = πr^2

    to h = V/πr^2

    h = 176π cubic cm / π (4cm) ^2

    We can just eliminate the π since it is both in the denominator and numerator.

    h = 176 cubic cm / (4cm) ^2

    h = 176 cubic cm / 16cm^2

    h = 11cm

    The height of Cylinder B is 11cm.
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