Question:

I am trying to find the volume of a cylinder but i dont know the formula ?

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i know the formula for radius but what would it be for diameter?

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  1. ((d^2)*pi) *h/4


  2. The general formula is the (area of the base) x (height):

    You know that the base of a cylinder is a circle and hopefully you already know that formula:

    Area circle = pi r²

    So the volume of a cylinder is simply:

    V = pi r² h

    Now using the fact that the radius is half of the diameter, you can simply substitute (d/2) in place of r:

    V = pi (d/2)² h

    This can be further simplified to:

    V = ( pi d² h ) / 4

  3. V = π r ² h

    or

    V = π (d/2)² h = π d ² h / 4

  4. Pi (d/2)^2 h

  5. The volume of a cylinder is PI r^2 h

    where PI=3.14, h=height of the cylinder and r is the radius.

    If you know the diameter, divide the diameter by 2 to get the radius.

  6. Volume of a cylinder is just the area of the base times the height. The area of the base is a circle so it is pi*R^2 so:

    Volume = pi*(R^2)*H

    H = height of cylinder

    R = radius of cylinder

    D = diameter = 2R

    R = D/2

    Volume = pi*[(D/2)^2]*H

    Volume = (pi/4)*(D^2)*H

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