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A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the paper. The radius of the base of the cylinder so rolled is :

a) 3.5 cm
b) 5 cm
c) 7 cm
d) 14 cm

Answer: c
Explanation: Length of rectangle paper = Circumference of the base of cylinder
If r is the radius of the cylinder :
$$\eqalign{ & 44 = 2\pi r \cr & r = \frac{{44 \times 7}}{{2 \times 22}} \cr & r = 7\,cm \cr} $$

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