A solid cylinder has total surface area 462.Its curved surface area is one third of its total surface area.Find its radius ,height and volume.
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total surface area = (2π r h + 2 π r²) = 462 cm²
curved surface area = 2 π r h = 462/3 = 154 cm ²
so,
2π r² = ( 462 - 154)
=308
⇒ r² = 154 /π
= 49
⇒ radius = 7 cm
now, 2π r h = 154 cm²
⇒h = 154 /2π r
= 3.5
height = 3.5 cm
curved surface area = 2 π r h = 462/3 = 154 cm ²
so,
2π r² = ( 462 - 154)
=308
⇒ r² = 154 /π
= 49
⇒ radius = 7 cm
now, 2π r h = 154 cm²
⇒h = 154 /2π r
= 3.5
height = 3.5 cm
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