Two sheet of Paper with measure 11 cm and 154 cm are taken. Each sheet is rolled in to a cylinder, one with height of 11 cm and other of height 154 cm. What is the difference in their volume (in cm3)?
Answer
Correct Answer : a ) 19,269.25
Explanation :According to the question
Length and breadth of the sheet are 154 cm and 11 cm respectively
Case I
When Sheet is rolled along its Length
Height of the Cylinder become 11 cm
Circumference of base of cylinder = 154 cm
⇒2πr=154
⇒2*\(22 \over 7\)*r=154
⇒ r = 24.5 cm
We know that
Volume of Cylinder = πr2h
⇒\(22 \over 7\)*24.5*24.5*11
⇒ Volume = 20,751.5 cm3
Case II
When the sheet is rolled along its breadth
Height of the cylinder = 154 cm
Circumference of base = 11cm
⇒ 2πr = 11cm
⇒2*\(22 \over 7\)*r=11
⇒r=1.75 cm
Volume of cylinder = πr2h
⇒\(22 \over 7\)*1.75*1.75*154
⇒ 1482.25 cm3
Difference in volume = 20,751.5 - 1482.25
⇒ 19,269.25 cm3
Hence, (a) is the correct answer.
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