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16 November, 09:37

11. 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 = (Pie) r^2h for the volue of a cylinder.

A. 12 (Pie) x^2+20 (pie) x+3 (pie)

B. 24 (pie) x^3+76 (pie) x^2+66 (pie) x+9 (pie)

C. 144 (pie) x^4+480 (pie) x^3+427 (pie) x^2+120 (pie) x+9 (pie)

D. 72 (pie) x^3+132 (pie) x^2+38 (pie) x+3 (pie)

12. A sphere has a radius of 2x+5. which polynomial in standard form best describes the total surface area of the sphere? use the formula S=4 (pie) r^2 for the surface area of a sphere.

A. 16 (pie) x^2+80 (pie) x + 100 (pie)

B. 16 (pie) x^2+40 (pie) x+100 (pie)

C. 100 (pie) x^2+80 (pie) x+16 (pie)

D. 100 (pie) x^2+100 (pie)

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Answers (2)
  1. 16 November, 11:57
    0
    Its A. 16 (pie) x^2+80 (pie) x + 100 (pie) because, S=4 (pie) r^2 for the surface area of a sphere.
  2. 16 November, 12:30
    0
    V=hpr^2 (for a cylinder) we are given r = (2x+3) and h = (6x+1) so

    V=p (6x+1) (2x+3) ^2

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

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

    V=p (24x^3+76x^2+66x+9) so B.

    ...

    A=4pr^2 and r = (2x+5) so

    A=4p (4x^2+20x+25)

    A=p (16x^2+80x+100) so A.
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