Help please ! A cylinder has total surface area 56π and radius 2. What is the height of the cylinder?

Question

Help please !
A cylinder has total surface area 56π and radius 2. What is the height of the cylinder?

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Skylar 3 months 2022-02-16T11:00:56+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-02-16T11:02:19+00:00

    Answer: the height of the cylinder is 24

    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.

    π is a constant whose value is 3.14

    From the information given,

    Total surface area = 56π

    radius = 2

    Therefore,

    56π = (2 × π × 2²) + 2 × π × h

    56π = 8π + 2πh

    56 × 3.14 = (8 × 3.14) + (2 × 3.14 × h)

    175.84 = 25.12 + 6.28h

    6.28h = 175.84 – 25.12 = 150.72

    h = 150.72/6.28

    h = 24

    0
    2022-02-16T11:02:41+00:00

    Answer:

    12

    Step-by-step explanation:

    2π * 2 * h + 2π(2 ^ 2) = 56π

    solve for h.

    h = 12

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45:7+7-4:2-5:5*4+35:2 =? ( )