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17 March, 12:58

The volume of a cylinder is given by the formula v=3.14r^2h, where r is the radius of the cylinder and h is the height. suppose a cylindrical can has radius (x 8) and height (2x 3). which expression represents the volume of the can?

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  1. 17 March, 13:02
    0
    area of the cylinder is πr² and height is h

    π = 3.14

    since volume is area x volume

    the formula used to find the volume of the cylinder is

    V = 3.14r²h

    where r - radius - x + 8

    h - height - 2x + 3

    substituting these values in the equation

    V = 3.14 * (x + 8) ² x (2x + 3)

    expanding the brackets

    V = 3.14 * (x² + 16x + 64) x (2x + 3)

    V = 3.14 (2x³ + 32x + 128 + 3x² + 48x + 192)

    adding the like terms

    V = 3.14 (2x³ + 3x² + 80x + 320)
  2. 17 March, 13:27
    0
    V = 3.14 (x + 8) ^2 (2x + 3) = 3.14 (x^2 + 16x + 64) (2x + 3)
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