## 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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Mathematics
2 weeks
2021-07-16T07:15:58+00:00
2021-07-16T07:15:58+00:00 1 Answers
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## Answers ( )

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