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: Option C
Solution (By Examveda Team)
Length of rectangle paper = Circumference of the base of cylinderIf r is the radius of the cylinder :
$$\eqalign{ & \Rightarrow 44 = 2\pi r \cr & \Rightarrow r = \frac{{44 \times 7}}{{2 \times 22}} \cr & \Rightarrow r = 7\,cm \cr} $$
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