A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the… · ABC26GN5082
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: CDS 2016
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
Answer (as printed): C
Explanation
Length of rectangle paper = circumference of the base of cylinder If $r$ is the radius of the cylinder $44=2 \pi r$ $$\Rightarrow r=\frac{44 \times 7}{2 \times 22}=7 \mathrm{cm} .$$