The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A=2

Question

The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A=2 π r^2 + 2 π rh.

a) 2π (3x^2 + 10x – 8)
b) 2π (12x^2 + 7x – 2)
c) 2π (12x^2 – 2x +13)
d) 2π (12x^2 – 5x – 2)

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Genesis 1 week 2021-09-10T15:12:18+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T15:13:52+00:00

    Answer: option D is correct

    Step-by-step explanation:

    The formula for determining the total surface area of a cylinder is expressed as

    Total surface area = 2πr² + 2πrh

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    From the information given,

    radius = 3x – 2 cm

    Height = x + 3 cm

    Therefore,

    Total surface area =

    2 × π × (3x – 2)² + 2 × π × (3x – 2)(x + 3)

    = 2π(3x – 2)(3x – 2) + 2π(3x – 2)(x + 3)

    = 2π(9x² – 6x – 6x + 4) + 2π(3x² + 9x – 2x – 6)

    = 2π(9x² – 12x + 4) + 2π(3x² + 7x – 6)

    = 2π(9x² + 3x² – 12x + 7x + 4 – 6)

    = 2π(12x² – 5x – 2)

    0
    2021-09-10T15:13:52+00:00

    Answer: B is the correct option.

    Step-by-step explanation:

    Given the formula A=2 π r^2 + 2 π rh.

    Where radius is 3x – 2 cm and height is

    x + 3 cm

    Find r^2= (3x -2) (3x -2) = 9x^2 + 4

    rh = (3x -2) (x + 3)= 3x^2 + 7x – 6

    Slot the values into the formula

    A = 2 π (9x^2 + 4) + 2 π (3x^2 + 7x – 6)

    Combine the values by adding like terms.

    A = 2 π ( 9x^2 + 3x^2 + 7x + 4 – 6)

    A = 2 π ( 12x ^2 + 7x – 2), i hope this helps, please mark as brainliest answer.

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