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12 October, 20:18

How do you find the volume of a cylinder from surface area

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  1. 12 October, 23:02
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    rA/2 = V

    Step-by-step explanation:

    Let's ignore the ends.

    If the cylinder has radius r and height h, then the surface area is A = 2πrh. The 2πr factor is the circumference of the cylinder. For later use, let's solve this for πrh: πrh = A/2.

    The volume of the cylinder is V = πr²h, where πr² is the area of the base.

    This V = πr²h can be factored so that one of the factors is the area A of the sides of the cylinder: V = πr²h = r*πrh = r * (A/2) = rA/2 = V
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