The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is :

Solution (By Examveda Team)

Volume of the cylinder :
= Volume of the cube
= (11)³ cm³
= 1331 cm³
Let the radius of the base be r cm
Then,
$$\eqalign{ & \frac{{22}}{7} \times {r^2} \times 14 = 1331 \cr & \Rightarrow {r^2} = \frac{{1331}}{{44}} = \frac{{121}}{4} \cr & \Rightarrow r = \frac{{11}}{2} \cr & \Rightarrow r = 5.5 \cr} $$