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Question
A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures 44 cm × 33 cm.
Solution
 |
 |
| (i) | (ii) |
In 1st case,
If sheet rolled along 44 cm
⇒ 2πr = 44 cm
∴ `r = 44/(2pi)`
= `44/2 xx 7/22`
= 7 cm
In 2nd case,
If sheet rolled along 33 cm
⇒ 2πr = 33
∴ `r = 33/(2pi)`
= `(33 xx 7)/(2 xx 22)`
= `(3 xx 7)/(2 xx 2)`
= `21/4` cm
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