A solid cylinder has total surface area of 462 sq. cm. Its curved surface area is one third of the total surface area. Then the radius of the cylinder is

Answer: Option A

According to the question
Curved surface area = $$\frac{1}{3}$$ × Total surface area
2πrh = $$\frac{1}{3}$$ × 2πr(h + r)
h = 2r . . . . . . (1)
Now total surface area = 2πr(h + r) = 462
By using equation - (1)
2πr(2r + r) = 462
r = 7 cm