solid cylinder has total surface area of 462 square cm . It's curved area is one third of its total surface area find the volume of the cylinder
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Curved surface area = total surface area / 3.
Curved surface area = 462/3 = 154.
Rest of area = 462 - 154 = 308.
2πr^2 = 308.
r^2 = 308 x 7 / 44 = 49.
r = 7.
2πrh = 154.
h = 154 / 2 x 22 = 7/2.
Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.
Volume = 539 cm^3
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