A cylinder of base radius 4cm is open at one end. If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder

A. 1cm
B. 2cm
C. 4cm
D. 8cm
E. 16cm

Correct Answer: Option D

D. 8cm

Explanation
r= 4cm; base area = πr2; Curve S.A = 2πrh

baseareacurvedarea = 1/4; π/2πrh

=h = 4x4cm2

h= 8cm