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29 May, 22:43

A cylinder has a surface area of 80π in2. The radius is 4 inches. Find the height.

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Answers (2)
  1. 30 May, 00:46
    0
    6 in

    Step-by-step explanation:

    80π = 2πr * (r+h)

    80π = 2π * 4 * (4+h)

    4 + h = 10

    h = 6
  2. 30 May, 02:24
    0
    The height is 6 inches

    Step-by-step explanation:

    The surface area of a cylinder is given by

    SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height

    Substituting what we know

    80pi = 2 pi (4) ^2 + 2 pi * 4 * h

    80pi = 32 pi + 8 pi h

    Divide each side by pi

    80 = 32 + 8 h

    Subtract 32 from each side

    80-32 = 8h

    48 = 8h

    Divide each side by 8

    6 = h
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