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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

Respuesta :

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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