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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 :

a) 5.2 cm
b) 5.5 cm
c) 11 cm
d) 22 cm

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

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