if the curved surface area of a cylinder is two-third of the total surface area and radius of the base is 6cm,find the height of the cylinde

Question

if the curved surface area of a cylinder is two-third of the total surface area and radius of the base is 6cm,find the height of the cylinder

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Thiên Ân 5 years 2021-07-16T07:15:58+00:00 1 Answers 388 views 1

Answers ( )

  1. RobertKer
    1
    2021-07-16T07:17:56+00:00
    Reply

    Answer:

    Height of cylinder = 12 cm

    Step-by-step explanation:

    Given:

    Radius of cylinder = 6 cm

    Curved surface area of cylinder = [2/3][Total surface area of cylinder]

    Find:

    Height of cylinder

    Computation:

    Curved surface area of cylinder = [2/3][Total surface area of cylinder]

    2πrh = [2/3][2πr(h + r)]

    h = 2h/3 +[2/3][6]

    h – 2h/3 = 4

    [3h – 2h] / 3 = 4

    h = 12

    Height of cylinder = 12 cm

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