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

Solution (By Examveda Team)

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