The total surface area of a cylinder is 462 sq cm, Its curved surface area is one-third of its surface area. Find the volume of the cylinder. *
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Answer:
Height of the cylinder = 2pi*rh = 2*(22/7)*7*h = 154 or h = 154/44 = 3.5 cm. Volume of cylinder = (22/7)*7^2*3.5 = 539 cm.
Step-by-step explanation:
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.
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539 cubic cm ................
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