The formula for the volume of a cylinder is V=pie2h, where the r is the radius of the bar and h is the height of the cylinder. Solve the for

Question

The formula for the volume of a cylinder is V=pie2h, where the r is the radius of the bar and h is the height of the cylinder. Solve the formula for h

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Thu Cúc 5 years 2021-07-25T20:57:40+00:00 1 Answers 33 views 0

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  1. Thunguyet
    0
    2021-07-25T20:59:06+00:00
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    Answer:

    h = \frac{v}{\pi r^2}

    Step-by-step explanation:

    You transcribed the equation incorrectly, but that’s okay as I do know the correct volume formula.  That is:

    v = πr²h

    In other words, the volume of a cylinder is simply the area of one of its circular ends, multiplied by its length. Now that we have that, let’s solve for h:

    v = \pi r^2h\\\\\frac{v}{\pi} = r^2h\\\\\frac{v}{\pi r^2} = h\\\\h = \frac{v}{\pi r^2}

    So the height of the cylinder can be calculated given the volume and the radius, simply by dividing the volume by pi times the square of its radius.

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