14. A rectangular sheet of paper of length 22 cm and breadth 7 cm is rolled to form a hollow
cylinder of height 7 cm. If there is no overlap, then the perimeter of the base is
(b) 154 cm
(c) 14 cm
(d) 22 cm
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Answer:
Height of cylinder = Width of sheet =BC=22 cm
Circumference of top = 2πr = Length of sheet =AB=36 cm
⇒r=
2π
36
Now, volume = πr
2
h
=π×(
2π
36
)
2
×22
=
4×22
36×36×7×22
=2268cm
3
Hence, the volume of the cylinder is 2,268cm
3
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