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1 December, 17:40

A cylinder has a radius of 2x + 3 and a height of 6x + 1. Which polynomial in standard form best describes the total volume of the cylinder? use the formula v=pir^2h for the volume of a cylinder.

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  1. 1 December, 19:31
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    Given that V = pi r^2 h

    r = 2x + 3

    h = 6x + 1

    v = pi (2x + 3) ^2 (6x + 1)

    V = pi (4x^2 + 12x + 9) (6x + 1)

    V = pi (24x^3 + 4x^2 + 72x^2 + 12x + 54x + 9)

    V = pi (24x^3 + 76x^2 + 66x + 9)

    V = 24pix^3 + 76pix^2 + 66pix + 9pi
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