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15 October, 12:55

A cylinder has a radius of 4x + 3 and a height of 3x + 6. Which polynomial in standard form best

describes the total volume of the cylinder? Use the formula V = pier^2h for the volume of a cylinder

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  1. 15 October, 14:11
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    Step-by-step explanation:

    R=4x+3

    H=3x+6

    Volume of a cylinder = Πr²h

    inserting the parameters

    v=π (4x+3) ² (3x+6)

    v=π (16x²+24x+9) (3x+6)

    V=π[3x (16x²+24x+9) + 6 (16x²+24x+9) ]

    v=Π (48x³+72x²+27x+96x²+144x+54)

    v=π (48x³+168x²+171x+54) m³
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