# The total surface area of cylinder is 462cm. Its curved area is one-third of its total surface area. find the volume of the cylinder.

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by Motla

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by Motla

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Total surface area = 2π r h+ 2 π r²

A/q,

2π r h = 462/3 = 154 cm²

and, 2 π r² = (462×2)/3 = 308 cm²

⇒ π r² = 154

⇒r² = 49

⇒ r= 7 cm

now, 2π r h = 154

⇒2π×7×h =154

⇒h = 154/44= 3.5 cm

so, volume = πr² h

= 154 ×3.5

=