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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As area should be in square units so, it should be 462 cm²
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
= 539 cm³
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
= 539 cm³
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