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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
r= 4cm; base area = \(\pi\)r2; Curve S.A = 2\(\pi\)rh
\(\frac{base area}{curved area}\) = 1/4; \(\pi\)/2\(\pi\)rh
=h = \(\frac{4 x 4cm}{2}\)
h= 8cm
Source: Myschool Past Questions Archive (Record #22877)